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Sprache: Englisch
Verlag: Springer International Publishing, 2022
ISBN 10: 3031101448 ISBN 13: 9783031101441
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Zustand: New. Presents new proofs of the bigonal and trigonal constructionsIncludes previously unpublished material on covers of degree 4Describes results that provide many examples that will be of interest to algebraic geometersHerbert Lange.
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Taschenbuch. Zustand: Neu. Decomposition of Jacobians by Prym Varieties | Herbert Lange (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xiii | Englisch | 2022 | Springer | EAN 9783031101441 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer, Palgrave Macmillan, 2022
ISBN 10: 3031101448 ISBN 13: 9783031101441
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym varieties of pairs of subcovers. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations. Several isogenies between Prym varieties also result.