A 4₃ configuration of lines and conics in ℙ⁵
Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.
A bound of the degree of some rational surfaces in .
A Cancellation Theorem for Projective Modules in the Metastable Range.
A Castelnuovo bound for smooth surfaces.
A classical complex analyst encounters a post-modern mathematical object.
A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A converse to the Andreotti-Grauert theorem
The goal of this paper is to show that there are strong relations between certain Monge-Ampère integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of holomorphic line bundles. Especially, we prove that these relations hold without restriction for projective surfaces, and in the special case of the volume, i.e. of asymptotic -cohomology, for all projective manifolds. These results can be seen as a partial converse to the Andreotti-Grauert...
A counterexample to a conjecture on linear systems on .
A criterion for extending meromorphic functions.
A Criterion for Flatness of Hodge Bundles over Curves and Geometrie Applications.
A criterion of openness of a family of nef line bundles.
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A descent map for curves with totally degenerate semi-stable reduction
Let be a local field of residue characteristic . Let be a curve over whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to- rational torsion subgroup on the Jacobian of . We also determine divisibility of line bundles on , including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of .
A divisorial cycle acquiring an embedded component under a flat specialization
A duality theorem for divisors on certain algebraic curves
A dynamical system connected with inhomogeneous 6-vertex model
A Finiteness Property of Varieties of General Type.
A fixed point formula for varieties over finite fields.
A fixed point formula of Lefschetz type in Arakelov geometry II: A residue formula
This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula "à la Bott" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut- Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.
A Gauss-Bonnet theorem for motivic cohomology.