Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Decomposition of Jacobians by Prym Varieties

Decomposition of Jacobians by Prym Varieties

Lange, Herbert
Rodríguez, Rubí E.

Paperback

Series: Lecture Notes in Mathematics, Book 2310

General MathematicsGeometry

ISBN10: 3031101448
ISBN13: 9783031101441
Publisher: Springer Nature
Published: Nov 25 2022
Pages: 251
Weight: 0.84
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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.

Also from

Lange, Herbert

View All

Also in

Geometry

View All