Canonical heights on varieties with morphisms
Canonical images of surfaces.
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...
Canonical liftings of jacobians
Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2
Canonical models of surfaces of general type
Canonical models of surfaces of general type in positive characteristic
Canonical surfaces with and
Canonical systems of double spaces.
Capacity theory on algebraic curves and canonical heights
Caractères numériques et fonctions de Macaulay.
The postulation of Aritméticamente Cohen-Macaulay (ACM) subschemes of the projective space PkN is well known in the case of codimension 2. There are many different ways of recording this numerical information: numerical character of Gruson/Peskine, h-vector, postulation character of Martin-Deschamps/Perrin... The first aim of this paper is to show the equivalence of these notions. The second and most important aim, is to study the postulation of codimension 3 ACM subschemes of PN. We use a result...
Caractérisation des tissus de C2 dont le rang est maximal et qui sont linéarisables
Caractérisation par l'uniformité des fibres universels sur la Grassmanienne.
Caractérisations de l'espace projectif (conjectures de Hartshorne et de Frankel)
Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains
For a strongly pseudoconvex domain defined by a real polynomial of degree , we prove that the Lie group can be identified with a constructible Nash algebraic smooth variety in the CR structure bundle of , and that the sum of its Betti numbers is bounded by a certain constant depending only on and . In case is simply connected, we further give an explicit but quite rough bound in terms of the dimension and the degree of the defining polynomial. Our approach is to adapt the Cartan-Chern-Moser...
Cartier-Dieudonné theory for Chow groups.
Casson invariant of links of singularities.
Casson's invariant of Seifert homology 3-spheres.
Castelnuovo Bounds for Certain Subvarieties in IPn.
Castelnuovo Curves and Unobstructed Deformations.