TY  - BOOK
AU  - Eisenbud,David
TI  - The geometry of syzygies: a second course in commutative algebra and algebraic geometry 
T2  - Graduate texts in mathematics
SN  - 0387222154
AV  - QA247 .E384 2005
PY  - 2005///]
CY  - New York
PB  - Springer
KW  - Syzygies (Mathematics)
KW  - Commutative algebra
KW  - Geometry, Algebraic
N1  - Includes bibliographical references (pages [227]-236) and index; Preface : algebra and geometry	; 1	Free resolutions and Hilbert functions	1; 2	First examples of free resolutions	15; 3	Points in P[superscript 2]	31; 4	Castelnuovo-Mumford regularity	55; 5	The regularity of projective curves	73; 6	Linear series and 1-generic matrices	89; 7	Linear complexes and the linear syzygy theorem	119; 8	Curves of high degree	145; 9	Clifford index and canonical embedding	177; App. 1	Introduction to local cohomology	187; App. 2	A jog through commutative algebra	201
N2  - "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
ER  -