Article ID Journal Published Year Pages File Type
4597353 Journal of Pure and Applied Algebra 2010 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory