| Record ID | marc_loc_2016/BooksAll.2016.part37.utf8:106693850:2284 |
| Source | Library of Congress |
| Download Link | /show-records/marc_loc_2016/BooksAll.2016.part37.utf8:106693850:2284?format=raw |
LEADER: 02284cam a22003617a 4500
001 2009939327
003 DLC
005 20111222101000.0
008 091015s2010 nyua b 001 0 eng
010 $a 2009939327
015 $aGBA987042$2bnb
016 7 $a015361991$2Uk
016 7 $a996515798$2DE-101
020 $a9781441915955 (hbk.)
020 $a1441915958 (hbk.)
020 $a1441915966 (ebk.)
020 $a9781441915962 (ebk.)
035 $a(OCoLC)ocn496229710
040 $aUKM$cUKM$dCDN$dOHX$dYDXCP$dGZM$dBWX$dIXA$dHEBIS$dMUU$dDLC
042 $aukblcatcopy$alccopycat
050 00 $aQA614.58$b.H37 2010
082 04 $a516.35$222
100 1 $aHartshorne, Robin.
245 10 $aDeformation theory /$cRobin Hartshorne.
260 $aNew York :$bSpringer,$cc2010.
300 $avi, 234 p. :$bill. ;$c25 cm.
490 1 $aGraduate texts in mathematics,$x0072-5285 ;$v257
520 $a"The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. Topics include: deformations over the dual numbers; smoothness and the infinitesimal lifting property; Zariski tangent space and obstructions to deformation problems; pro-representable functors of Schlessinger; infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley."--$cSource other than Library of Congress.
504 $aIncludes bibliographical references (p. [217]-224) and index.
650 0 $aDeformations of singularities.
650 0 $aGeometry, Algebraic.
650 07 $aDeformation <Mathematik>$2swd
830 0 $aGraduate texts in mathematics ;$v257.