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| 001 | 978-3-540-40015-8 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151101.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2000 gw | s |||| 0|eng d | ||
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_a9783540400158 _9978-3-540-40015-8 |
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| 024 | 7 |
_a10.1007/b75857 _2doi |
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_aPBMW _2bicssc |
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_aMAT012010 _2bisacsh |
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_aPBMW _2thema |
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| 082 | 0 | 4 |
_a516.35 _223 |
| 245 | 1 | 0 |
_aGrothendieck Duality and Base Change _h[electronic resource] / _cedited by Brian Conrad. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2000. |
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| 300 |
_aXII, 300 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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_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 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1750 |
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| 505 | 0 | _aIntroduction -- Basic compatibilities -- Duality foundations -- Proof of main theorom -- Examples: Higher direct images. Curves -- Residues and cohomology with supports -- Trace map on smooth curves. | |
| 520 | _aGrothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory. | ||
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 700 | 1 |
_aConrad, Brian. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662167021 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540411345 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1750 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/b75857 |
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| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
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