Calcolo del conduttore di curve algebriche e ideali di punti
Calculating cohomology groups of moduli spaces of curves via algebraic geometry
Calculating Root Numbers of Elliptic curves over Q.
Canonical curves and quadrics of rank 4
Canonical generators of the cohomology of moduli of parabolic bundles on curves.
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
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
Capacity theory on algebraic curves and canonical heights
Castelnuovo Curves and Unobstructed Deformations.
Certain maximal curves and Cartier operators
Certain monomial curves are set-theoretic complete intersections.
Chains on the Eggers tree and polar curves.
Challenging problems on affine -space
Characteres and Galois invariants of regular dessins.
We describe a new invariant for the action of the absolute Galois groups on the set of Grothendieck dessins. It uses the fact that the automorphism groups of regular dessins are isomorphic to automorphism groups of the corresponding Riemman surfaces and define linear represenatations of the space of holomorphic differentials. The characters of these representations give more precise information about the action of the Galois group than all previously known invariants, as it is shown by a series...
Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility
In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.
Characterization of jacobian varieties in arbitrary characteristic
Characterization of Jacobian varieties in terms of soliton equations.
Characterization of non-degenerate plane curve singularities.