000			02121nam a22002297a 4500
003			OSt
005			20230926153058.0
008			190302b ||||| |||| 00| 0 eng d
020			_a9780387984292
040			_cEducational Supplies _aICTS-TIFR
050			_aQA564
100			_aHarris, Joe
245			_aModuli of curves
260			_aNew York, _bSpringer: _c[c1998]
300			_axiii, 366 p
490			_aGraduate Texts in Mathematics
500			_a1. Parameter spaces: Constructions and examples 2. Basic facts about moduli spaces of curves 3. Techniques 4. Construction of M¯g 5. Limit Linear Series and Brill-Noether theory 6. Geometry of moduli spaces: Selected results
520			_aThe aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families. The revolution that the field of algebraic geometry has undergone with the introduction of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understand the behavior of curves in ways that simply were not possible 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 definitive 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 focus on examples and applications rather than on foundations. When discussing techniques we’ve chosen to sacrifice proofs of some, even basic results particularly where we can provide a good reference in order to show how the methods are used to study moduli of curves. Likewise, we often prove results in special cases which we feel bring out the important ideas with a minimum of technical complication.
700			_aMorrison, Ian
856			_uhttps://doi.org/10.1007/b98867
942			_2lcc _cBK
999			_c2460 _d2460