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 ...
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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.
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Add this copy of Automorphic Forms and the Picard Number of an Elliptic to cart. $25.00, very good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1984 by Friedrich Vieweg & Sohn Verlagsgesellschaft.
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Seller's Description:
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.
Add this copy of Automorphic Forms and the Picard Number of an Elliptic to cart. $49.95, very good condition, Sold by Last Exit Books rated 3.0 out of 5 stars, ships from Charlottesville, VA, UNITED STATES, published 1984 by Vieweg+Teubner Verlag.
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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.
Add this copy of Automorphic Forms and the Picard Number of an Elliptic to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2012 by Vieweg+teubner Verlag.
Add this copy of Automorphic Forms and the Picard Number of an Elliptic to cart. $71.22, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2012 by Vieweg+teubner Verlag.
Add this copy of Automorphic Forms and the Picard Number of an Elliptic to cart. $80.09, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2012 by Vieweg+Teubner Verlag.
