Items related to Stiller: Automorphic Forms And The ∗picard∗...
Stiller: Automorphic Forms And The ∗picard∗ Number Of An Elliptic Surface: 5 (Aspects of Mathematics) - Hardcover
Synopsis
In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E,Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E,E) which is of I type (1,1), that is to say a class in H(E,9!) which can be viewed as a 2 subspace of H(E,E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p,p) is algebraic. In our case this is the Lefschetz Theorem on (I,l)-classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E,Z) for 2 its image under the natural mapping into H (E,t). Thus NS(E) modulo 2 torsion is Hl(E,n!) n H(E,Z) and th 1 b i f h -~ p measures e a ge ra c part 0 t e cohomology.
"synopsis" may belong to another edition of this title.
- PublisherJohn Wiley & Sons
- Publication date1984
- ISBN 10 3528085878
- ISBN 13 9783528085872
- BindingHardcover
- LanguageEnglish
- Number of pages194
Search results for Stiller: Automorphic Forms And The ∗picard∗...
Seller Image
Automorphic Forms and the Picard Number of an Elliptic Surface
Published by
Friedrich Vieweg & Sohn Verlagsgesellschaft, Braunschweig, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Used
Paperback
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Braunschweig: Friedrich Vieweg & Sohn Verlagsgesellschaft, 1984. 194 pp. 23 x 16.5 cm. Stiff paper wrappers printed in light grey with white and blue titling. Previous owner's name written in blue ink on front cover and top of half title page. Slight bend to bottom corner of rear cover. Interior otherwise clean and unmarked. Binding sound with no creases or cracks. . Soft Cover. Very Good. Seller Inventory # 628166
Quantity: 1 available
Seller Image
Automorphic Forms and the Picard Number of an Elliptic Surface.
Published by
Wiesbaden, Vieweg+Teubner Verlag, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. 1984. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04660 3528085878 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490899
Quantity: 1 available
Stock Image
Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics)
Published by
Vieweg+Teubner Verlag, E-328, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Used
Paperback
Seller: Last Exit Books, Charlottesville, VA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Trade pB. 8vo. Freidrich Vieweg & Sohn, Braunschweig, Germany. 1984. 194 pages. Aspects of Mathematics, Vol. 5. Wrappers lightly worn with some light shelf-wear to the extremities present. Book is free of ownership marks. Text is clean and free of marks. Binding tight and solid. In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E, Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E, E) which is of I type (1,1) , that is to say a class in H(E,9! ) which can be viewed as a 2 subspace of H(E, E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p, p) is algebraic. In our case this is the Lefschetz Theorem on (I, l) -classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E, Z) for 2 its image under the natural mapping into H (E, t). Thus NS(E) modulo 2 torsion is Hl(E, n! ) n H(E, Z) and th 1 b I f h -~ p measures e a ge ra c part 0 t e cohomology. ; 8vo 8" - 9" tall. Seller Inventory # 68921
Quantity: 1 available
Stock Image
Automorphic Forms and the Picard Number of an Elliptic Surface
Published by
Friedr. Vieweg & Sohn, Braunschweig / Wiesbaden, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Used
Paperback
Seller: Chequamegon Books, Washburn, WI, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. 194 pages. part of the Aspects of Mathematics series. text is in English. small previous owner's name at top of first page. "This book deals with the question of how many curves there are on an elliptic surface up to algebraic equivalance. The problem leads to studying interesting relationships between so different notions as differential equations, automorpic forms and special values of Dirichlet series." covers show slight handling. light crease to upper part of rear cover and last few pages. ; 6 3/8 x 9 ". Seller Inventory # 90356
Quantity: 1 available