9781441915955 (hbk.)
IR
E-4929
انگلیسی
IR
Deformation theory
[Book]
/ Robin Hartshorne
New York
: Springer
, 2010.
vi, 234 p. , ill. , 25 cm.
(Graduate texts in mathematics,0072-5285
; 257.)
Print
Includes bibliographical references (p. [217]-224) and index.
"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.
Graduate texts in mathematics
257
Deformations of singularities
Geometry, Algebraic
QA614
.
58
.
H37
2010
Hartshorne, Robin.
ایران
old catalog
p
BL
1
a
Y
