Compactified jacobians
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
Let J be the jacobian of a reduced projective curve C with nodes only. 1) We give a simple and natural definition for its many compactifications and show the connection with various other definitions appearing in the literature. 2) Among all compactifications we choose one canonical, and define a theta divisor on it. 3) We give two very explicit and simple descriptions of a stratification of this canonical compactification into homogeneous spaces over J.
Keywords
Cite
@article{arxiv.alg-geom/9608012,
title = {Compactified jacobians},
author = {Valery Alexeev},
journal= {arXiv preprint arXiv:alg-geom/9608012},
year = {2008}
}
Comments
AMSLaTeX 1.2/LaTeX2e with epic.sty, eepic.sty, Postscript file is also available at http://domovoy.math.uga.edu/preprints , a few misprints corrected