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Decomposition of Jacobians by Prym Varieties

110,09 
110,09 
2025-07-31 110.0900 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Rubí E. Rodríguez, Herbert Lange,
Serija: Lecture Notes in Mathematics
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2022
Knygos puslapių skaičius: 268
ISBN-10: 3031101448
ISBN-13: 9783031101441
Formatas: Knyga minkštu viršeliu
Kalba: Anglų
Žanras: Complex analysis, complex variables

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