Calculating cohomology groups of moduli spaces of curves via algebraic geometry
Calculating limits and colimits in pro-categories
We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. We also correct some mistakes in the literature on this topic.
Cancellation theorem.
Canonical generators of the cohomology of moduli of parabolic bundles on curves.
Canonical integral structures on the de Rham cohomology of curves
For a smooth and proper curve over the fraction field of a discrete valuation ring , we explain (under very mild hypotheses) how to equip the de Rham cohomology with a canonical integral structure: i.e., an -lattice which is functorial in finite (generically étale) -morphisms of and which is preserved by the cup-product auto-duality on . Our construction of this lattice uses a certain class of normal proper models of and relative dualizing sheaves. We show that our lattice naturally...
Caractérisation par l'uniformité des fibres universels sur la Grassmanienne.
Caractérisations de l'espace projectif (conjectures de Hartshorne et de Frankel)
Cartier-Dieudonné theory for Chow groups.
Castelnuovo's regularity and cohomological properties of sets of points in IPn.
Catégorie homotopique stable d’un site suspendu avec intervalle
Cet article présente la construction de la catégorie homotopique stable d’un site suspendu avec intervalle arbitraire. La fonctorialité de cette construction est étudiée, avec des applications à la théorie homotopique des schémas introduite par F. Morel et V. Voevodsky.
Catégories tannakiennes
Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank two bundles.
Characteristic varieties and vanishing cycles.
Characteristic varieties of character sheaves.
Characterizing Projective Bundles by Means of Ample Divisors.
Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities.
Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities.
Chern Classes of Rank 3 Stable Reflexive Sheaves.
Chern numbers for singular varieties and elliptic homology.
Chern Numbers of Algebraic Surfaces.