Completion of the variety of conics with respect to contact conditions II
Complex algebraic plane curves via their links at infinity.
Complex analytic geometry of complex parallelizable manifolds
Complex Hyperbolic Surfaces of Abelian Type
2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a Picard modular surface of...
Complex plane curves in the ball.
Components of the Hilbert Scheme of Smooth space curves with the expected number of moduli.
Components with the expected codimension in the moduli scheme of stable spin curves
Here we study the Brill-Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components
Computation of Period Matrices of Real Algebraic Curves*
Computation of the Selmer groups of certain parametrized elliptic curves
Computing integral points on Mordell's elliptic curves.
Computing limit linear series with infinitesimal methods
Alexander and Hirschowitz determined the Hilbert function of a generic union of fat points in a projective space when the number of fat points is much bigger than the greatest multiplicity of the fat points. Their method is based on a lemma which determines the limit of a linear system depending on fat points approaching a divisor.Other Hilbert functions were computed previously by Nagata. In connection with his counter-example to Hilbert’s fourteenth problem, Nagata determined the Hilbert function...
Computing torsion points on curves.
Concernant la relation de distribution satisfaite par la fonction ...associé à un réseau complexe.
Concerning the existence of nice components in the Hilbert scheme of curves in ...n for n = 4 and 5.
Conducteur et discriminant minimal de courbes de genre 2
Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group
Configurations of - 2 Rational Curves on Sectional Surfaces of n-Folds.
Configurations of lines and general hyperplane sections.
Conformal actions with prescribed periods on Riemann surfaces
It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions for the...
Conformal blocks and cohomology in genus 0
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus for classical Lie algebras and .