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008 | 150903s2010 xxu| o |||| 0|eng d | ||
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_a9781441915962 _99781441915962 |
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024 | 7 |
_a10.1007/9781441915962 _2doi |
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035 | _avtls000338345 | ||
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_a201509030814 _bVLOAD _c201404300343 _dVLOAD _y201402060908 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA564-609 | |
100 | 1 |
_aHartshorne, Robin. _eautor _9314814 |
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245 | 1 | 0 |
_aDeformation Theory / _cby Robin Hartshorne. |
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_aNew York, NY : _bSpringer New York, _c2010. |
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_aviii, 236 páginas 19 ilustraciones _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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_aGraduate Texts in Mathematics, _x0072-5285 ; _v257 |
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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 |
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776 | 0 | 8 |
_iEdición impresa: _z9781441915955 |
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_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) |
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