000			03850nam a22005655i 4500
001			978-3-540-69392-5
003			DE-He213
005			20140220083740.0
007			cr nn 008mamaa
008			110310s2011 gw | s |||| 0|eng d
020			_a9783540693925 _9978-3-540-69392-5
024	7		_a10.1007/978-3-540-69392-5 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aArbarello, Enrico. _eauthor.
245	1	0	_aGeometry of Algebraic Curves _h[electronic resource] : _bVolume II with a contribution by Joseph Daniel Harris / _cby Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXXX, 963p. 112 illus., 30 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v268
505	0		_aPreface -- Guide to the Reader -- Chapter IX. The Hilbert Scheme -- Chapter X. Nodal curves -- Chapter XI. Elementary deformation theory and some applications -- Chapter XII. The moduli space of stable curves -- Chapter XIII. Line bundles on moduli -- Chapter XIV. The projectivity of the moduli space of stable curves -- Chapter XV. The Teichmüller point of view -- Chapter XVI. Smooth Galois covers of moduli spaces -- Chapter XVII. Cycles on the moduli spaces of stable curves -- Chapter XVIII. Cellular decomposition of moduli spaces -- Chapter XIX. First consequences of the cellular decomposition -- Chapter XX. Intersection theory of tautological classes -- Chapter XXI. Brill-Noether theory on a moving curve -- Bibliography -- Index.
520			_aThe second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aFunctions of complex variables.
650		0	_aDifferential equations, partial.
650		0	_aCombinatorics.
650		0	_aCell aggregation _xMathematics.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aSeveral Complex Variables and Analytic Spaces.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
650	2	4	_aCombinatorics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
700	1		_aCornalba, Maurizio. _eauthor.
700	1		_aGriffiths, Phillip A. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540426882
830		0	_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v268
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-69392-5
912			_aZDB-2-SMA
999			_c106646 _d106646