- Main Menu-

Catalogue Tag Display

MARC 21

Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris
Tag	Description
020	$a9783540693925
082	$a516.35
099	$aOnline Resource : Springer
100	$aArbarello, Enrico.
245	$aGeometry of Algebraic Curves$h[Ebook]$bVolume II with a contribution by Joseph Daniel Harris$cby Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths.
260	$aBerlin, Heidelberg$bSpringer$c2011.
300	$aXXX, 963 pages, 112 illus., 30 illus. in color.$bonline resource.
336	$atext
338	$aonline resource
440	$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x0072-7830 ;$v268
505	$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 TeichmÃ¼ller 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 TeichmÃ¼ller 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aCornalba, Maurizio.$eauthor.
700	$aGriffiths, Phillip A.$d1938-$eauthor.
710	$aSpringerLink (Online service)
830	$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$v268
856	$uhttp://dx.doi.org/10.1007/978-3-540-69392-5