Complexe Cotangent Et Deformations II.
Author | : Luc Illusie |
Publisher | : |
Total Pages | : 304 |
Release | : 1972 |
Genre | : |
ISBN | : |
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Author | : Luc Illusie |
Publisher | : |
Total Pages | : 304 |
Release | : 1972 |
Genre | : |
ISBN | : |
Author | : L. Illusie |
Publisher | : |
Total Pages | : |
Release | : 1972 |
Genre | : |
ISBN | : |
Author | : L. Illusie |
Publisher | : |
Total Pages | : |
Release | : 1972 |
Genre | : |
ISBN | : |
Author | : Luc Illusie |
Publisher | : |
Total Pages | : |
Release | : 1971 |
Genre | : |
ISBN | : |
Author | : Edoardo Sernesi |
Publisher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2007-04-20 |
Genre | : Mathematics |
ISBN | : 3540306153 |
This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
Author | : Gert-Martin Greuel |
Publisher | : Springer Science & Business Media |
Total Pages | : 482 |
Release | : 2007-02-23 |
Genre | : Mathematics |
ISBN | : 3540284192 |
Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
Author | : L. Illusie |
Publisher | : Springer |
Total Pages | : 304 |
Release | : 1972-08-31 |
Genre | : Mathematics |
ISBN | : 9783540059769 |
Author | : L. Illusie |
Publisher | : Springer |
Total Pages | : 372 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540370013 |
Author | : L. Illusie |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540379622 |
Author | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 241 |
Release | : 2009-11-12 |
Genre | : Mathematics |
ISBN | : 1441915966 |
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.