| 000 | 02323nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781139175852 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160212.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 111014s2015||||enk o ||1 0|eng|d | ||
| 020 | _a9781139175852 (ebook) | ||
| 020 | _z9781107024625 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 041 | 1 |
_aeng _hrus |
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| 050 | 0 | 0 |
_aQA564 _b.A7913 2015 |
| 082 | 0 | 0 |
_a516.3/53 _223 |
| 100 | 1 |
_aArzhant︠s︡ev, I. V. _q(Ivan Vladimirovich), _d1972- _eauthor. |
|
| 240 | 1 | 0 |
_aKolʹt︠s︡a Koksa. _lEnglish |
| 245 | 1 | 0 |
_aCox rings / _cIvan Arzhantsev, Moscow State University [and three others]. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2015. |
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| 300 |
_a1 online resource (viii, 530 pages) : _bdigital, PDF file(s). |
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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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| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v144 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aCox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry. The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty. | ||
| 650 | 0 | _aAlgebraic varieties. | |
| 650 | 0 | _aRings (Algebra) | |
| 776 | 0 | 8 |
_iPrint version: _z9781107024625 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v144. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139175852 |
| 999 |
_c515906 _d515904 |
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