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Geometry of algebraic curves
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 stableExpand
Geometry of Algebraic Curves: Volume I
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1988, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.Expand
Moduli of roots of line bundles on curves
We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new differentExpand
Calculating cohomology groups of moduli spaces of curves via algebraic geometry
We compute the first, second, third, and fifth rational cohomology groups of the moduli space of stable n-pointed genus g curves, for all g and n, using (mostly) algebro-geometric techniques.
Analytic cycles and vector bundles on non-compact algebraic varieties
A. Orders of Growth on Algebraic Varieties . . . . . . . . . . . 4 w 1. Review of the Classical Theory . . . . . . . . . . . . . 4 w 2. Generalization to Algebraic Varieties . . . . . . . . . . . 6 wExpand
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