The Caporaso-Harris-Ran degeneration principle: proof and applications
The Caporaso-Harris-Ran degeneration principle: proof and applications
Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a view towards the enumeration of curves. This includes a complete proof of the Caporaso-Harris recursive formula, with all the necessary background on deformations of curves and singularities.
Francesco Bastianelli、Ciro Ciliberto、Thomas Dedieu、Concettina Galati、Margherita Lelli-Chiesa、Edoardo Sernesi
数学
Francesco Bastianelli,Ciro Ciliberto,Thomas Dedieu,Concettina Galati,Margherita Lelli-Chiesa,Edoardo Sernesi.The Caporaso-Harris-Ran degeneration principle: proof and applications[EB/OL].(2025-04-23)[2025-06-27].https://arxiv.org/abs/2505.09623.点此复制
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