000 03005nam a22004575i 4500
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
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.
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.
300 _aXIV, 246 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_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 _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