TY - BOOK ID - 8781976 TI - Moduli of curves AU - Harris, Joe AU - Morrison, Ian PY - 1998 SN - 0387984291 0387984380 9786610010295 1280010290 0387227377 PB - [Place of publication not identified] : Springer, DB - UniCat KW - 512.77 KW - 511.33 KW - Algebraic curves. Algebraic surfaces. Three-dimensional algebraic varieties KW - Analytical and multiplicative number theory. Asymptotics. Sieves etc. KW - Curves, Algebraic. KW - Moduli theory. KW - 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. KW - 512.77 Algebraic curves. Algebraic surfaces. Three-dimensional algebraic varieties KW - Moduli theory KW - Mathematics. KW - Algebraic geometry. KW - Algebraic Geometry. KW - Curves, Algebraic KW - Theory of moduli KW - Analytic spaces KW - Functions of several complex variables KW - Geometry, Algebraic KW - Algebraic curves KW - Algebraic varieties KW - Analytical and multiplicative number theory. Asymptotics. Sieves etc KW - Geometry, algebraic. KW - Algebraic geometry KW - Geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:8781976 AB - Aims Theaimofthisbookistoprovideaguidetoarichandfascinatings- ject: algebraic curves, and how they vary in families. The revolution that the ?eld of algebraic geometry has undergone with the introd- tion of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understandthebehaviorofcurvesinwaysthatsimplywerenotpos- ble a half-century ago. This in turn has led, over the last few decades, to a burst of activity in the area, resolving long-standing problems and generating new and unforeseen results and questions. We hope to acquaint you both with these results and with the ideas that have made them possible. The book isn’t intended to be a de?nitive reference: the subject is developing too rapidly for that to be a feasible goal, even if we had the expertise necessary for the task. Our preference has been to - cus on examples and applications rather than on foundations. When discussing techniques we’ve chosen to sacri?ce proofs of some, even basic,results—particularlywherewecanprovideagoodreference— inordertoshowhowthemethodsareusedtostudymoduliofcurves. Likewise, we often prove results in special cases which we feel bring out the important ideas with a minimum of technical complication. ER -