Lectures on deformations of complex manifolds

Details Lectures on deformations of complex manifolds Lectures on deformations of complex manifolds

2005-07-14

arxiv.org/abs/math/0507286v1

Rendiconti di Matematica 24, (2004), 1-183

Mathematics

Algebraic Geometry

Lecture notes based on a course given by the author in 2001

Scientific paper

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD student to deformations of compact complex manifolds, from the very beginning to some recent (i.e. at that time not yet published) results. The goal of these lectures is to give a soft introduction to extended deformation theory. In view of the aim (and the hope) of keeping this paper selfcontained, user friendly and with a tolerating number of pages, we consider only deformations of compact complex manifolds. Anyhow, most part of the formalism and of the results that we prove here will apply to many other deformation problems.

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