Klik op een omslag om naar Google Boeken te gaan.
Bezig met laden... Deformation Theorydoor Robin Hartshorne
Geen Bezig met laden...
Meld je aan bij LibraryThing om erachter te komen of je dit boek goed zult vinden. Op dit moment geen Discussie gesprekken over dit boek. Geen besprekingen geen besprekingen | voeg een bespreking toe
Onderdeel van de uitgeversreeks(en)
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. Geen bibliotheekbeschrijvingen gevonden. |
Actuele discussiesGeen
Google Books — Bezig met laden... GenresDewey Decimale Classificatie (DDC)516.35Natural sciences and mathematics Mathematics Geometry Analytic GeometryLC-classificatieWaarderingGemiddelde: Geen beoordelingen.Ben jij dit?Word een LibraryThing Auteur. |