By Robin Hartshorne
The simple challenge of deformation thought in algebraic geometry comprises looking at a small deformation of 1 member of a relations of gadgets, reminiscent of types, or subschemes in a hard and fast house, or vector bundles on a hard and fast scheme. during this new e-book, Robin Hartshorne experiences first what occurs over small infinitesimal deformations, after which steadily builds as much as extra worldwide events, utilizing tools pioneered through Kodaira and Spencer within the advanced analytic case, and tailored and elevated in algebraic geometry through Grothendieck.
The writer comprises a variety of workouts, in addition to vital examples illustrating numerous facets of the idea. this article relies on a graduate path taught by means of the writer on the college of California, Berkeley.