Modular Forms Special Cycles by Kudla Stephen (28 results)
Language: English
Published by Princeton University Press, Princeton NJ, 2006
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Trade Paperback. Condition: Good. No Dust Jacket. First Edition. An ex-library copy in original orange paper covers. The usual ex-libris markings. The binding is sound, the text is clean/unmarked, and there is little wear to the covers. Book.
Language: English
Published by Princeton University Press, 2006
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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
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Paperback. Condition: Very Good+. Text clean and tight; AM-161; 8vo 8" - 9" tall; 392 pages.
Language: English
Published by Princeton University Press, 2006
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Hardcover. Condition: Fine.
Language: English
Published by Princeton University Press, 2006
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hardcover. Condition: Gut. 373 Seiten; 9780691125503.3 Gewicht in Gramm: 1.
Language: English
Published by Princeton University Press, 2006
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Condition: New. 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. Series: Annals of Mathematics Studies. Num Pages: 392 pages, 1 line illus. 3 tables. BIC Classification: PBH; PBKF.…Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 542. . 2006. Paperback. . . . .
Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, US, 2006
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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
- Softcover
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Language: English
Published by Princeton University Press, US, 2006
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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.
Published by Princeton University Press 2006., 2006
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Add to basketCondition: Gebraucht / Used. Paperback. Very good. Vii,373pp.
Language: English
Published by Princeton University Press, 2006
- Softcover
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Condition: New. 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. Series: Annals of Mathematics Studies. Num Pages: 392 pages, 1 line illus. 3 tables. BIC Classification: PBH; PBKF.…Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 542. . 2006. Paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Princeton University Press, 2006
- Softcover
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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.
Language: English
Published by Princeton University Press, 2006
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Language: English
Published by Princeton University Press, 2006
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Condition: New. pp. 388 Index.
Language: English
Published by Princeton University Press, US, 2006
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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
- Softcover
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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
- 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, 2006
- Hardcover
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Condition: gut. 2006. Modular Forms & Special Cycles on Shimura Curves (Annals of Mathematics Studies, Band 161) In englischer Sprache. pages.
Language: English
Published by Princeton Univ Pr, 2006
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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
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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 AutorStephe…n S. Kudla..
Language: English
Published by Princeton University Press, 2006
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Taschenbuch. Condition: Neu. Modular Forms and Special Cycles on Shimura Curves | Stephen S. Kudla (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2006 | Princeton University Press | EAN 9780691125510 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbiet…er: preigu Print on Demand.
Language: English
Published by Princeton University Press, 2006
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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 fie…ld 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-Soulé 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.
