You might also like

More about Deformation Theory

• Book details
• Synopsis
• Trending among others

You get 169 loyalty points

Book synopsis

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.§Topics include: deformations over the dual numbers, smoothness and the infinitesimal lifting property, Zariski tangent space and obstructions to deformation problems, pro-representable functors of Schlessinger, infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles.§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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Deformation Theory
• Author: Robin Hartshorne
• Language: English
• Binding: Hardback
• Number of pages: 234
• EAN: 9781441915955
• ISBN: 1441915958
• ID: 01420679
• Publisher: Springer-Verlag New York Inc.
• Weight: 500 g
• Dimensions: 236 × 165 × 23 mm
• Date of publishing: 10. December 2009

Trending among others

---

---

---