By Robin Hartshorne

The uncomplicated challenge of deformation thought in algebraic geometry comprises gazing a small deformation of 1 member of a kinfolk of items, resembling types, or subschemes in a hard and fast area, or vector bundles on a hard and fast scheme. during this new booklet, Robin Hartshorne reports first what occurs over small infinitesimal deformations, after which progressively builds as much as extra international occasions, utilizing tools pioneered by means of Kodaira and Spencer within the advanced analytic case, and tailored and multiplied in algebraic geometry via Grothendieck.

The writer comprises a number of workouts, in addition to vital examples illustrating numerous features of the idea. this article is predicated on a graduate path taught through the writer on the college of California, Berkeley.

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