Generalised prym varieties as fixed points
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 … WebOur generalised Prym varieties will be connected components of the fixed point sets (J⊗Z χ)W. Now let us consider the associated fibration Pr→ U, and assume that the …
Generalised prym varieties as fixed points
Did you know?
Web1.2. The Prym map. The Prym construction can be done in families and induces a morphism P g: R g! A g 1 from the (connected) (3g 3)-dimensional moduli space R gof connected etale double covers of smooth projective connected curves of genus gto the g(g 1)=2-dimensional moduli space A g 1 of principally polarized abelian varieties of … WebJan 1, 2006 · We prove that Prym varieties of algebraic curves with two smooth fixed points of involution are exactly the indecomposable principally polarized abelian …
WebPrym-Tjurin variety is isomorphic to the intermediate Jacobian [3, 7, 11, 13]. The starting point in the study of Prym varieties is the remark that if a: X - X is an involution without fixed points and 0 is a divisor on J(X) inducing the canonical polarization, then 0 - P(X, 03C3) ~ 2" where 3 induces 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 ...
WebGeneralised Prym Varieties as Fixed Points Let X be a nonsingular, projective curve of genus g ≥ 2. Then the elements of order r of the Jacobian of X act in a natural way on … WebPrym–Tyurin varieties coming from correspondences with fixed points Angela Ortega Mathematics 2006 4 PDF Prym-Tjurin varieties and the Hitchin map Renata …
http://www.numdam.org/item/CM_1987__64_3_243_0.pdf
WebM.S. Narasimhan and S. Ramanan —Generalised Prym varieties as fixed points”, J. Indian Math. Soc.39 (1975), 1–19. MathSciNet MATH Google Scholar I. Schur … team umizoomi the kitty rescue wcoWebpoints. These generalized Prym varieties were known in the case of one ordinary double point (see [M 2] and (3.6) below); in general, they naturally appear as ... In w 4, we give a list of all the generalized Prym varieties with dim Sing O > g- 4. The method is that of [M 2], but there are some technical difficulties due to reducible curves. ... team umizoomi the dinosaur museum mishap wcoWebNov 8, 2024 · Generalized Prym Varieties as Fixed Points Article Jan 1975 M. S. Narasimhan S. Ramanan View Algebraic Curves and Riemann Surfaces Article Rick … spago four seasons mauiWebFIXED POINT BRANES, SINGULAR LOCI AND MIRROR SYMMETRY ... torus fibration, which together with autoduality of Jacobian varieties gives an example of ... [NR] M.S. Narasimhan and S. Ramanan, Generalised Prym varieties as fixed points, J. Indian Math. Soc. 39 (1975), 1–19. spa going out of business saleWeblearns 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 … team umizoomi the rainbow eggWebpoints. These generalized Prym varieties were known in the case of one ordinary double point (see [M 2] and (3.6) below); in general, they naturally appear as intermediate … team umizoomi the race around umi cityWebIn mathematics, the Prym variety construction (named for Friedrich Prym) is a method in algebraic geometry of making an abelian variety from a morphism of algebraic curves. In its original form, it was applied to an unramified double covering of a Riemann surface, and was used by F. Schottky and H. W. E. Jung in relation with the Schottky ... spa golf course