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020 a| 9781441915955 (hbk.);

020 a| 1441915958 (hbk.);

020 a| 1441915966 (ebk.);

020 a| 9781441915962 (ebk.);

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

245 10 a| Deformation theoryh| [electronic resource] /c| Robin Hartshorne.;

260 a| New York :b| Springer,;

300 a| vi, 234 p. :b| ill. ;c| 25 cm.;

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

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

506 a| Available only to authorized users.;

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."--c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

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

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

650 07 a| Deformation <Mathematik>2| swd;

655 0 a| Electronic books.=| ^A491897;

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

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4419-1596-2;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2010 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4419-1596-2;

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Deformation theory / Robin Hartshorne.

Author/creator	Hartshorne, Robin
Format	Electronic
Publication Info	New York : Springer,
Description	vi, 234 p. : ill. ; 25 cm.
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2010 English International
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."-- Source other than Library of Congress.
Bibliography note	Includes bibliographical references (p. [217]-224) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2009939327
ISBN	9781441915955 (hbk.)
ISBN	1441915958 (hbk.)
ISBN	1441915966 (ebk.)
ISBN	9781441915962 (ebk.)

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Library	Location	Call Number	Status	Item Actions
	Electronic Resources	Online Content Full text available from Springer Books Full text available from Springer Books	✔ Available

Deformation theory / Robin Hartshorne.

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