9783540862581: Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris

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Synopsis

Preface.- 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.

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9783540426882: Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris: 268 (Grundlehren der mathematischen Wissenschaften, 268)

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ISBN 10:  3540426884 ISBN 13:  9783540426882
Publisher: Springer, 2011
Hardcover