یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. [217]-224) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
"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.
فروست (داده ارتباطی)
عنوان
Graduate texts in mathematics
شماره جلد
257
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Deformations of singularities
موضوع مستند نشده
Geometry, Algebraic
رده بندی کنگره
شماره رده
QA614
.
58
نشانه اثر
.
H37
2010
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )