Gau{\ss}-Manin determinants for rank one irregular connections on curves
Algebraic Geometry
2016-08-15 v2
Abstract
see the old abstract and the comments here.
Cite
@article{arxiv.math/9904088,
title = {Gau{\ss}-Manin determinants for rank one irregular connections on curves},
author = {Spencer Bloch and Hélène Esnault},
journal= {arXiv preprint arXiv:math/9904088},
year = {2016}
}
Comments
The article is already available on the server math.AG/9904088. Its main purpose is to compute a determinant formula for the determinant of Gau{\ss}-Manin cohomology of a rank one irregular connection on a family of curves. In the original version, we computed modulo torsion. To please the referee, we computed here the torsion as well. It is a 2-torsion term. We give for it two shapes. One version is to express it as the residue of some quadratic form stemming from the connection on the curve, and one as the discriminant of some Hessian on the generalized Picard variety. 51 pages