Limits of Cartier divisors
Algebraic Geometry
2009-05-12 v1
Abstract
Consider a one-parameter family of algebraic varieties degenerating to a reducible one. Our main result is a formula for the fundamental cycle of the limit subscheme of any family of effective Cartier divisors. The formula expresses this cycle as a sum of Cartier divisors, not necessarily effective, of the components of the limit variety.
Cite
@article{arxiv.0905.1656,
title = {Limits of Cartier divisors},
author = {Eduardo Esteves},
journal= {arXiv preprint arXiv:0905.1656},
year = {2009}
}
Comments
18 pages