num_pages: 244
description: The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects such as varieties or subschemes in a fixed space or vector bundles on a fixed scheme. In this new book Robin Hartshorne studies first what happens over small infinitesimal deformations and then gradually builds up to more global situations using methods pioneered by Kodaira and Spencer in the complex analytic case and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California Berkeley.
language: English
title: Deformation Theory
publisher: Springer