WebSep 1, 2008 · Such Prym varieties are not principally polarized and so they are not isomorphic but only isogenous to Jacobi varieties of genus two hyperelliptic curves. This … WebApr 18, 2024 · Let J g be the Jacobian locus and let P g +1 be the Prym locus, in the moduli space A g of principally polarized abelian varieties of dimension g , for g ≥ 7. We study the extrinsic geometry of J g ⊂ P g +1 , under the inclusion provided by the theory of generalized Prym varieties introduced by Beauville.
(PDF) Generic hyperelliptic Prym varieties in a generalized Hénon ...
WebOct 19, 2006 · [NR1] M.S. Narasimhan and S. Ramanan, Generalised Prym varieties and fixed points, J. Indian Math. Soc. 39 (1975), 1–19. MathSciNet MATH Google Scholar [NR2] M.S. Narasimhan and S. Ramanan, 2− linear systems on Abelian varieties, Vector bundles on algebraic varieties, Oxford Univ. Press 1987, pp. 415–427. Google Scholar ... Weblearns that the generalized Casson invariant for a mapping torus is essentially the ... Generalized Prym Varieties as Fixed Points, J. Indian Math. Soc. 39, 1975, 1-19. [RW] L. Rozansky and E. Witten, Hyper-K¨ahler Geometry and Invariants of … how to download anime from simplyaweeb
PRYM VARIETIES OF BRANCHED COVERINGS AND NONLINEAR …
http://www.numdam.org/item/CM_1987__64_3_243_0.pdf WebAug 30, 2013 · We establish an analogous correspondence between: i) Rank 2 integrable systems whose Liouville tori are generalized prym varieties Prym(S_u,W,V) of a family of curves S_u, u in U. ii) Varieties X ... WebThese are typically evaluated by Atiyah–Bott fixed-point theorems for circle actions on the manifold. ... the remarkable developments in recent mathematics is the interplay between algebraic completely integrable systems and Prym varieties. The period of these Prym varieties provide the exact periods of the motion in terms of explicit abelian ... least expensive colorado towns