| 000 | 02511nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781139044059 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160224.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110302s2013||||enk o ||1 0|eng|d | ||
| 020 | _a9781139044059 (ebook) | ||
| 020 | _z9780521513630 (hardback) | ||
| 020 | _z9781107471801 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA169 _b.B745 2013 |
| 082 | 0 | 0 |
_a516.3/5 _223 |
| 100 | 1 |
_aBrodmann, M. P. _q(Markus P.), _d1945- _eauthor. |
|
| 245 | 1 | 0 |
_aLocal cohomology : _ban algebraic introduction with geometric applications / _cM.P. Brodmann, University Zürich, R.Y. Sharp, University of Sheffield. |
| 250 | _aSecond edition. | ||
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2013. |
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| 300 |
_a1 online resource (xxii, 491 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v136 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum-Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton-Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are provided for some of the more difficult ones. | ||
| 650 | 0 | _aAlgebra, Homological. | |
| 650 | 0 | _aSheaf theory. | |
| 650 | 0 | _aCommutative algebra. | |
| 700 | 1 |
_aSharp, R. Y., _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521513630 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v136. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139044059 |
| 999 |
_c516978 _d516976 |
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