Infinitesimal deformations of complements of plumbings of rational curves

2010/10/10 by Dongsoo Shin, Shin, Dongsoo
Mathematics · #14B12 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14B12

paper · pdf · doi:10.48550/arxiv.1010.1900

8 pages

arxiv created 2010/10/10 · arxiv updated 2010/10/12

Abstract

We construct infinitesimal deformations on an open domain of a smooth projective surface given by a complement of plumbings of disjoint linear chains of smooth rational curves. We show that the infinitesimal deformations are not small deformations, that is, they change the complex structure away from the boundary of the domain.

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