000 02654nam a22003855i 4500
001 286272
003 MX-SnUAN
005 20160429154451.0
007 cr nn 008mamaa
008 150903s2010 xxu| o |||| 0|eng d
020 _a9781441915962
_99781441915962
024 7 _a10.1007/9781441915962
_2doi
035 _avtls000338345
039 9 _a201509030814
_bVLOAD
_c201404300343
_dVLOAD
_y201402060908
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA564-609
100 1 _aHartshorne, Robin.
_eautor
_9314814
245 1 0 _aDeformation Theory /
_cby Robin Hartshorne.
250 _a1.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aviii, 236 páginas 19 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v257
500 _aSpringer eBooks
505 0 _aFirst-Order Deformations -- Higher-Order Deformations -- Formal Moduli -- Global Questions.
520 _aThe 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781441915955
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4419-1596-2
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c286272
_d286272