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 Castelnuovo bound for smooth surfaces.
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 of openness of a family of nef line bundles.
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 Generalization of Kodaira-Ramanujam's Vanishing Theorem.
A generalization of Mumford's geometric invariant theory.
A geometric description of the sum of linear series of order two on a curve of genus 2.
A Global Moduli Space of Ample Subvarieties on Compact Kähler Manifolds with Very Strongly Negative Curvature.
A new example of a compactification of C3.
A note on a theorem of Horikawa.
In this paper we classify the algebraic surfaces on C with KS2=4, pg=3 and canonical map of degree d=3. By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with K2=4 and pg=3.
A note on k-very ampleness of a bundle on a blown up plane.
A note on the Hodge index theorem.