Prym Subvarieties $P_{\lambda }$ of Jacobians via Schur correspondences between curves

Pandey, Yashonidhi. "Prym Subvarieties $P_\lambda $ of Jacobians via Schur correspondences between curves." Annales de la faculté des sciences de Toulouse Mathématiques 19.3-4 (2010): 603-633. <http://eudml.org/doc/115868>.

@article{Pandey2010,
abstract = {Let $\pi : Z \rightarrow X$ denote a Galois cover of smooth projective curves with Galois group $W$ a Weyl group of a simple Lie group $G$. For a dominant weight $\lambda $, we consider the intermediate curve $Y_\lambda = Z/\{\rm Stab\}(\lambda )$. One defines a Prym variety $P_\lambda \subset \{\rm Jac\}(Y_\lambda )$ and we denote by $\varphi _\lambda $ the restriction of the principal polarization of $\{\rm Jac\}(Y_\lambda )$ upon $P_\lambda $. For two dominant weights $\lambda $ and $\mu $, we construct a correspondence $S_\{\lambda \mu \}$ on $Y_\lambda \times Y_\mu $ and calculate the pull-back of $\varphi _\mu $ by $S_\{\lambda \mu \}$ in terms of $\varphi _\lambda $.},
affiliation = {Chennai Mathematical Institute, Plot No H1, Sipcot IT Park, Padur Post Office, Siruseri 603103, India},
author = {Pandey, Yashonidhi},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Prym variety; Galois cover},
language = {eng},
number = {3-4},
pages = {603-633},
publisher = {Université Paul Sabatier, Toulouse},
title = {Prym Subvarieties $P_\lambda $ of Jacobians via Schur correspondences between curves},
url = {http://eudml.org/doc/115868},
volume = {19},
year = {2010},
}

TY - JOUR
AU - Pandey, Yashonidhi
TI - Prym Subvarieties $P_\lambda $ of Jacobians via Schur correspondences between curves
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2010
PB - Université Paul Sabatier, Toulouse
VL - 19
IS - 3-4
SP - 603
EP - 633
AB - Let $\pi : Z \rightarrow X$ denote a Galois cover of smooth projective curves with Galois group $W$ a Weyl group of a simple Lie group $G$. For a dominant weight $\lambda $, we consider the intermediate curve $Y_\lambda = Z/{\rm Stab}(\lambda )$. One defines a Prym variety $P_\lambda \subset {\rm Jac}(Y_\lambda )$ and we denote by $\varphi _\lambda $ the restriction of the principal polarization of ${\rm Jac}(Y_\lambda )$ upon $P_\lambda $. For two dominant weights $\lambda $ and $\mu $, we construct a correspondence $S_{\lambda \mu }$ on $Y_\lambda \times Y_\mu $ and calculate the pull-back of $\varphi _\mu $ by $S_{\lambda \mu }$ in terms of $\varphi _\lambda $.
LA - eng
KW - Prym variety; Galois cover
UR - http://eudml.org/doc/115868
ER -