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Sinopsis
Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.
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Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.
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Complex abelian varieties and theta functions George R. Kempf. Universitext.
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Berlin Heidelberg , Springer-Verl [1991]., 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 14 KEM 9783540531685 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2499318
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Complex abelian varieties and theta functions George R. Kempf. Universitext.
Publicado por
Berlin, Springer-Verl [1991]., 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
Antiguo o usado
Softcover
Librería: Antiquariat Bookfarm, Löbnitz, Alemania
Calificación del vendedor: 5 de 5 estrellas
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 14 KEM 9783540531685 Sprache: Englisch Gewicht in Gramm: 250. Nº de ref. del artículo: 2508399
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Complex Abelian Varieties and Theta Functions
Publicado por
Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
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Tapa blanda
Librería: Buchpark, Trebbin, Alemania
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Condición: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 22641912/203
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Complex Abelian Varieties and Theta Functions
Publicado por
Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford s work, has been . Nº de ref. del artículo: 4892670
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Complex Abelian Varieties and Theta Functions (Universitext)
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Complex Abelian Varieties and Theta Functions
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Springer Berlin Heidelberg, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book. Nº de ref. del artículo: 9783540531685
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Complex Abelian Varieties and Theta Functions
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Springer Berlin Heidelberg Apr 1991, 1991
ISBN 10: 3540531688
ISBN 13: 9783540531685
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book. 120 pp. Englisch. Nº de ref. del artículo: 9783540531685
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Complex Abelian Varieties and Theta Functions
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