Monodromy and vanishing cycles in toric surfaces
成果类型：
Article
署名作者：
Salter, Nick
署名单位：
Columbia University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-018-0845-6
发表日期：
2019
页码：
153-213
关键词：
摘要：
Given an ample line bundle on a toric surface, a question of Donaldson asks which simple closed curves can be vanishing cycles for nodal degenerations of smooth curves in the complete linear system. This paper provides a complete answer. This is accomplished by reformulating the problem in terms of the mapping class group-valued monodromy of the linear system, and giving a precise determination of this monodromy group.