Tools

LEADER 02506cam a2200397Ia 4500

001 ocn865549316;

003 OCoLC;

005 20150428111616.0;

008 131218s2009 nyua b 001 0 eng c;

019 a| 898422094;

020 a| 9781461425205 (pbk.);

020 a| 1461425204 (pbk.);

035 a| (Sirsi) o865549316;

035 a| (OCoLC)865549316z| (OCoLC)898422094;

049 a| EREE;

050 4 a| QA614.58b| .H37 2009;

100 1 a| Hartshorne, Robin.=| ^A31695;

245 10 a| Deformation theory /c| Robin Hartshorne.;

260 a| New York :b| Springer,c| 2009.;

300 a| vi, 234 pages :b| illustrations ;c| 24 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Graduate texts in mathematics,x| 0072-5285 ;v| 257;

504 a| Includes bibliographical references (p. [217]-224) and index.;

520 a| "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."--Publisher's website.;

650 0 a| Deformations of singularities.=| ^A539583;

650 0 a| Geometry, Algebraic.=| ^A42380;

830 0 a| Graduate texts in mathematicsv| 257.=| ^A638225;

938 a| YBP Library Servicesb| YANKn| 9370147;

949 a| QA614.58 .H37 2009h| JOYNER48o| jssbi| 30372013885899;

994 a| C0b| ERE;

596 a| 1;

998 a| 3661897;

999 a| QA614.58 .H37 2009w| LCc| 1i| 30372013885899d| 7/29/2022l| JGESm| JOYNERq| 1r| Ys| Yt| JGESBKu| 1/7/2015x| BOOKz| JSTACKSo| .STAFF. jjlm;

Deformation theory / Robin Hartshorne.

Author/creator	Hartshorne, Robin
Format	Book
Publication Info	New York : Springer, 2009.
Description	vi, 234 pages : illustrations ; 24 cm.
Subjects	Deformations of singularities. Geometry, Algebraic.

Series	Graduate texts in mathematics, 0072-5285 ; 257 Graduate texts in mathematics 257. ^A638225
Abstract	"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."--Publisher's website.
Bibliography note	Includes bibliographical references (p. [217]-224) and index.
ISBN	9781461425205 (pbk.)
ISBN	1461425204 (pbk.)

Availability

Library	Location	Call Number	Status	Item Actions
Joyner	General Stacks	QA614.58 .H37 2009	✔ Available	Place Hold

Deformation theory / Robin Hartshorne.

Click here for more information about this title

Availability