Remarks on a conjecture of Hartshorne.
Remarks on Clifford indices.
Remarks on fixed points of automorphisms and higher-order Weierstrass points in prime characteristic.
Remarks on inflated mappings
Remarks on numerically positive line bundles on normal surfaces.
Remarks on -torsion of algebraic surfaces
Remarks on Relations between Maximal Lattices and Relatively Minimal Models.
Remarks on Seshadri constants of vector bundles
We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.
Remarks on strongly modular Jacobian surfaces
In [3] we introduced the concept of strongly modular abelian variety. This note contains some remarks and examples of this kind of varieties, especially for the case of Jacobian surfaces, that complement the results of [3].
Remarks on the Algebraic Approach to Intersection Theory.
Remarks on the Cayley-van der Waerden-Chow form.
Remarks on the generalized index of an analytic improper intersection
This article continues the investigation of the analytic intersection algorithm from the perspective of deformation to the normal cone, carried out in the previous papers of the author [7, 8, 9]. The main theorem asserts that, given an analytic set V and a linear subspace S, every collection of hyperplanes, admissible with respect to an algebraic bicone B, realizes the generalized intersection index of V and S. This result is important because the conditions for a collection of hyperplanes to be...
Remarks on the Nagata Conjecture
2000 Mathematics Subject Classification: 14C20, 14E25, 14J26.The famous Nagata Conjecture predicts the lowest degree of a plane curve passing with prescribed multiplicities through given points in general position. We explain how this conjecture extends naturally via multiple point Seshadri constants to ample line bundles on arbitrary surfaces. We show that if there exist curves of unpredictable low degree, then they must have equal multiplicities in all but possibly one of the given points. We...
Remarks on the postulation of zero-dimensional subschemes of projective space.
Remarque sur la réduction des intégrales abéliennes aux intégrales elliptiques
Remarque sur le développement en série entière d'une branche de fonction implicite
Remarque sur un théorème de M. A. Pellissier
Remarques sur le revêtement universel des variétés kählériennes compactes
Remarques sur l'emploi de la méthode précédente
Remarques sur les idéaux de polynômes et de formes différentielles extérieures I