By Robin Hartshorne

The uncomplicated challenge of deformation conception in algebraic geometry includes gazing a small deformation of 1 member of a family members of gadgets, resembling forms, or subschemes in a set house, or vector bundles on a hard and fast scheme. during this new ebook, Robin Hartshorne reports first what occurs over small infinitesimal deformations, after which progressively builds as much as extra international occasions, utilizing tools pioneered by way of Kodaira and Spencer within the complicated analytic case, and tailored and accelerated in algebraic geometry through Grothendieck.

The writer comprises a number of workouts, in addition to very important examples illustrating numerous elements of the idea. this article is predicated on a graduate path taught by means of the writer on the collage of California, Berkeley.

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Deformation Theory: 257 (Graduate Texts in Mathematics) by Robin Hartshorne

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