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Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics).
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Automorphic Forms and the Picard Number of an Elliptic Surface
ISBN: 9783322907103 bzw. 3322907104, in Deutsch, Vieweg+Teubner, Taschenbuch, neu.
buecher.de GmbH & Co. KG, [1].
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 Nron-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.Softcover reprint of the original 1st ed. 1984. 2012. vi, 194 S. VI, 194 p. 235 mmVersandfertig in 3-5 Tagen, Softcover.
Automorphic Forms and the Picard Number of an Elliptic Surface (Paperback) (2012)
ISBN: 9783322907103 bzw. 3322907104, in Deutsch, Springer Fachmedien Wiesbaden, Germany, Taschenbuch, neu, Nachdruck.
Von Händler/Antiquariat, The Book Depository EURO [60485773], Slough, United Kingdom.
Language: English Brand New Book ***** Print on Demand *****.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. Softcover reprint of the original 1st ed. 1984.
Automorphic Forms and the Picard Number of an Elliptic Surface
ISBN: 9783322907103 bzw. 3322907104, in Deutsch, Springer, neu.
Engineering, general, 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.
Automorphic Forms and the Picard Number of an Elliptic Surface
ISBN: 9783322907080 bzw. 3322907082, in Deutsch, Springer, neu, E-Book.
Engineering, general, 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.
Automorphic Forms and the Picard Number of an Elliptic Surface (1984)
ISBN: 9783528085872 bzw. 3528085878, in Deutsch, Friedr Vieweg & Sohn, Taschenbuch, gebraucht.
Cover faintly soiled, front flap very lightly bumped, corners very faintly rubbed/bumped, spine ends faintly rubbed/bumped; edges faintly soiled; ffep and title page faintly foxed/soiled; binding tight; cover, edges, and interior intact and clean except as noted.
Automorphic Forms and the Picard Number of an Elliptic Surface (1984)
ISBN: 3322907104 bzw. 9783322907103, vermutlich in Englisch, Vieweg+Teubner Verlag, Taschenbuch, neu, Nachdruck.
Automorphic Forms and the Picard Number of an Elliptic Surface (1984)
ISBN: 9783528085872 bzw. 3528085878, in Deutsch, Vieweg, Taschenbuch, gebraucht.
Cover faintly soiled, previous owner's signature on front flap, previous bookseller's label on rear flap, corners very lightly bumped, spine ends faintly rubbed; edges faintly soiled; previous owner's signature on ffep; binding tight; cover, edges, and interior intact and clean except as noted.
Automorphic Forms and the Picard Number of an Elliptic Surface (2012)
ISBN: 9783322907103 bzw. 3322907104, in Englisch, Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Taschenbuch, gebraucht.
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Automorphic Forms and the Picard Number of an Elliptic Surface
ISBN: 9783322907103 bzw. 3322907104, in Deutsch, Teubner, Leipzig, Deutschland, Taschenbuch, neu.
Softcover reprint of the original 1st ed. 1984, Softcover reprint of the original 1st ed. 1984.
Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics). (1984)
ISBN: 9783528085872 bzw. 3528085878, in Deutsch, Vieweg, Braunschweig/Wiesbaden, Deutschland, Taschenbuch.
194 Seiten 1984. Sehr gutes Exemplar. Sprache: en.