000 | 03005nam a22004575i 4500 | ||
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001 | 978-0-387-26456-1 | ||
003 | DE-He213 | ||
005 | 20161121230924.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2005 xxu| s |||| 0|eng d | ||
020 |
_a9780387264561 _9978-0-387-26456-1 |
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024 | 7 |
_a10.1007/b137572 _2doi |
|
050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
|
072 | 7 |
_aMAT012010 _2bisacsh |
|
082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aEisenbud, David. _eauthor. |
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245 | 1 | 4 |
_aThe Geometry of Syzygies _h[electronic resource] : _bA Second Course in Commutative Algebra and Algebraic Geometry / _cby David Eisenbud. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2005. |
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300 |
_aXIV, 246 p. _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 ; _v229 |
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505 | 0 | _aFree Resolutions and Hilbert Functions -- First Examples of Free Resolutions -- Points in ?2 -- Castelnuovo-Mumford Regularity -- The Regularity of Projective Curves -- Linear Series and 1-Generic Matrices -- Linear Complexes and the Linear Syzygy Theorem -- Curves of High Degree -- Clifford Index and Canonical Embedding. | |
520 | _aAlgebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, an appendix provides a summary of commutative algebra, tying together examples and major results from a wide range of topics. David Eisenbud is the director of the Mathematical Sciences Research Institute, President of the American Mathematical Society (2003-2004), and Professor of Mathematics at University of California, Berkeley. His other books include Commutative Algebra with a View Toward Algebraic Geometry (1995), and The Geometry of Schemes, with J. Harris (1999). | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aAlgebra. | |
650 | 0 | _aAlgebraic geometry. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAlgebraic Geometry. |
650 | 2 | 4 | _aAlgebra. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387222158 |
830 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v229 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b137572 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c505963 _d505963 |