000			03003nam a22004335i 4500
001			978-0-387-26456-1
003			DE-He213
005			20250710083936.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387264561 _a99780387264561
024	7		_a10.1007/b137572 _2doi
082	0	4	_a516.35 _223
100	1		_aEisenbud, David. _eauthor.
245	1	4	_aThe Geometry of Syzygies _h[recurso electrónico] : _bA Second Course in Commutative Algebra and Algebraic Geometry / _cby David Eisenbud.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXVI, 243 p. 27 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v229
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	_aGEOMETRY, ALGEBRAIC.
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 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56577 _d56577