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Automorphic Forms and the Picard Number of an Elliptic Surface: 5 (Aspects of Mathematics) - Hardcover
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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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- VerlagFriedrich Vieweg & Sohn Verlagsgesellschaft mbH
- Erscheinungsdatum1984
- ISBN 10 3528085878
- ISBN 13 9783528085872
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten194
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Automorphic Forms and the Picard Number of an Elliptic Surface
ISBN 10: 3528085878
ISBN 13: 9783528085872
Gebraucht
Paperback
Anbieter: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, USA
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers 628166
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Automorphic Forms and the Picard Number of an Elliptic Surface.
Verlag:
Wiesbaden, Vieweg+Teubner Verlag, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Gebraucht
Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
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. Bestandsnummer des Verkäufers 2490899
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Automorphic Forms and the Picard Number of an Elliptic Surface (Aspects of Mathematics)
Verlag:
Vieweg+Teubner Verlag, E-328, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Gebraucht
Paperback
Anbieter: Last Exit Books, Charlottesville, VA, USA
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers 68921
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Beispielbild für diese ISBN
Automorphic Forms and the Picard Number of an Elliptic Surface
Verlag:
Friedr. Vieweg & Sohn, Braunschweig / Wiesbaden, 1984
ISBN 10: 3528085878
ISBN 13: 9783528085872
Gebraucht
Paperback
Anbieter: Chequamegon Books, Washburn, WI, USA
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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 ". Bestandsnummer des Verkäufers 90356
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