| 000 | 02604nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4419-1596-2 | ||
| 003 | DE-He213 | ||
| 005 | 20140220084506.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2010 xxu| s |||| 0|eng d | ||
| 020 |
_a9781441915962 _9978-1-4419-1596-2 |
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| 024 | 7 |
_a10.1007/978-1-4419-1596-2 _2doi |
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| 050 | 4 | _aQA564-609 | |
| 072 | 7 |
_aPBMW _2bicssc |
|
| 072 | 7 |
_aMAT012010 _2bisacsh |
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| 082 | 0 | 4 |
_a516.35 _223 |
| 100 | 1 |
_aHartshorne, Robin. _eauthor. |
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| 245 | 1 | 0 |
_aDeformation Theory _h[electronic resource] / _cby Robin Hartshorne. |
| 250 | _a1. | ||
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2010. |
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| 300 |
_aVIII, 236p. 19 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v257 |
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| 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebraic Geometry. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781441915955 |
| 830 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v257 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4419-1596-2 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c110432 _d110432 |
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