Yang Tonghai (27 results)
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Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Paperback. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less.
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Paperback. Condition: Very Good+. Text clean and tight; AM-161; 8vo 8" - 9" tall; 392 pages.
- Softcover
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- Softcover
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- Softcover
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- Softcover
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Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Hardcover
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- Softcover
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Paperback. Condition: Brand New. 2012 edition. 148 pages. 9.00x6.00x0.50 inches. In Stock.
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Hardcover
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hardcover. Condition: Gut. 373 Seiten; 9780691125503.3 Gewicht in Gramm: 1.
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Published by Princeton University Press, US 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be… the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Language: English
Published by Princeton University Press, US 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
Seller: Rarewaves.com USA, London, LONDO, United KingdomRarewaves.com USA
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Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be… the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
Seller: Majestic Books, Hounslow, , United KingdomMajestic Books
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Condition: New. pp. 388 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Published by Princeton University Press 2006. 2006
- Softcover
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Condition: Gebraucht / Used. Paperback. Very good. Vii,373pp.
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Condition: New. pp. 388 Index.
Language: English
Published by Princeton University Press, US 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
Seller: Rarewaves USA United, OSWEGO, IL, U.S.A.Rarewaves USA United
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Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be… the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Language: English
Published by Princeton Univ Pr 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
Seller: Revaluation Books, Exeter, , United KingdomRevaluation Books
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Paperback. Condition: Brand New. 373 pages. 8.75x6.00x1.00 inches. In Stock.
Language: English
Published by Princeton University Press, US 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
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Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be… the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
- Softcover
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, , GermanyBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of ortho…gonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. 152 pp. Englisch.
- Softcover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops new methods in explicit arithmetic intersection theory Develops new techniques for the study of Shimura varieties and automorphic forms, central objects in modern number theory Proves new cases of conjectures… of S. Kudla.
Language: English
Published by Princeton Univ Pr 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
- Print on Demand
Seller: Revaluation Books, Exeter, , United KingdomRevaluation Books
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Paperback. Condition: Brand New. 373 pages. 8.75x6.00x1.00 inches. In Stock. This item is printed on demand.
Modular Forms and Special Cycles on Shimura Curves. (AM-161)
Stephen S. Kudla|Michael Rapoport|Tonghai Yang|Michael Rapoport|Tonghai Yang
Language: English
Published by Princeton University Press 2006
Series: Annals of Mathematics Studies, Book 10 of 202. Book 10 of 202 - Annals of Mathematics Studies
- Softcover
- Print on Demand
Seller: moluna, Greven, , Germanymoluna
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface M attached to a Shimura curve M over the field of rational numbers….Über den AutorStephen S. Kudla..
