On deformations of curves supported on rigid divisors
Algebraic Geometry
2016-02-22 v4
Abstract
Motivated by a conjecture of Xiao, we study supporting divisors of fibred surfaces. On the one hand, after developing a formalism to treat one-dimensional families of varieties of any dimension, we give a structure theorem for fibred surfaces supported on relatively rigid divisors. On the other hand, we study how to produce supporting divisors by constructing a global adjoint map for a fibration over a curve (generalizing the infinitesimal constructions of Collino, Pirola, Rizzi and Zucconi).
Keywords
Cite
@article{arxiv.1401.7466,
title = {On deformations of curves supported on rigid divisors},
author = {Víctor González-Alonso},
journal= {arXiv preprint arXiv:1401.7466},
year = {2016}
}
Comments
Some typos corrected. Accepted for publication in the Annali di Matematica Pura ed Applicata