000 02738nam a2200373 i 4500
008 040921s2005 nyua b 001 0 eng
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020 _a0387222154
_qacid-free paper
020 _a9780387222158
_qacid-free paper
020 _a0387222324
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020 _a9780387222325
_qpbk. : acid-free paper
040 _aDLC
_beng
_cDLC
_dYUS
_dOHX
_dBAKER
_dMUQ
_dNLGGC
_dBTCTA
_dYDXCP
_dUBA
_dIG#
_dSTF
_dHEBIS
_dOCLCQ
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_dOCLCQ
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_dOCLCF
_dP4I
_dBAUN
_erda
049 _aBAUN_MERKEZ
050 0 4 _aQA247
_b.E384 2005
100 1 _aEisenbud, David.
245 1 4 _aThe geometry of syzygies :
_ba second course in commutative algebra and algebraic geometry /
_cDavid Eisenbud.
264 1 _aNew York :
_bSpringer,
_c[2005]
264 4 _c©2005
300 _axvi, 243 pages :
_billustrations ;
_c25 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aGraduate texts in mathematics ;
_v229
504 _aIncludes bibliographical references (pages [227]-236) and index.
505 0 0 _tPreface : algebra and geometry
_t1 Free resolutions and Hilbert functions 1
_t2 First examples of free resolutions 15
_t3 Points in P[superscript 2] 31
_t4 Castelnuovo-Mumford regularity 55
_t5 The regularity of projective curves 73
_t6 Linear series and 1-generic matrices 89
_t7 Linear complexes and the linear syzygy theorem 119
_t8 Curves of high degree 145
_t9 Clifford index and canonical embedding 177
_tApp. 1 Introduction to local cohomology 187
_tApp. 2 A jog through commutative algebra 201
520 _a"Algebraic 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, the appendices provide summaries of local cohomology and commutative algebra, tying together examples and major results from a wide range of topics."--Publisher's website.
650 0 _aSyzygies (Mathematics)
650 0 _aCommutative algebra.
650 0 _aGeometry, Algebraic.
830 0 _919347
_aGraduate texts in mathematics ;
_v229.
900 _a25681
900 _bsatın
942 _2lcc
_cKT
999 _c21031
_d21031