Decomposition of Jacobians by Prym Varieties Lange Herbert
Decomposition of Jacobians by Prym Varieties Lange Herbert This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product…
Specifikacia Decomposition of Jacobians by Prym Varieties Lange Herbert
Decomposition of Jacobians by Prym Varieties Lange Herbert
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. In many cases, these components are given by Prym varieties of pairs of subcovers. 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.
Several isogenies between Prym varieties also result. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations.
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