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arXiv · 0905.1656

Limits of Cartier divisors

Eduardo Esteves
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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.

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BibTeXRIS

Eduardo Esteves. 2009-05-11. Limits of Cartier divisors. https://arxiv.org/abs/0905.1656

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