A Bezout theorem for determinantal modules
A differential criterion for complete intersections.
A generic approach to the structure of certain normal ideals
A homological proof of a theorem by Davis, Geramita, Orecchia giving the Cayley-Bacharach theorem.
A Theorem of Grothendieck Using Picard Groups for the Algebraist.
Abhyankar places admit local uniformization in any characteristic
Biliaisons élémentaires en codimension 2
Un théorème de Strano montre que si une courbe gauche localement Cohen-Macaulay n’est pas minimale dans sa classe de biliaison, elle admet une biliaison élémentaire strictement décroissante. R. Hartshorne a récemment donné une nouvelle preuve de ce résultat en le plaçant dans un contexte plus général. Dans cet article on apporte une précision, en utilisant les techniques introduites par Hartshorne : on montre que si un sous-schéma de codimension localement Cohen-Macaulay de n’est pas minimal...
Bounding the degrees of generators of a homogeneous dimension 2 toric ideal.
Bounds for the multiplicity of almost complete intersections.
Castelnuovo-Mumford regularity of products of ideals.
The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely generated graded module M over a polynomial ring R. For instance, it measures the amount of computational resources that working with M requires. In general one knows that the regularity of a module can be doubly exponential in the degrees of the minimal generators and in the number of the variables. On the other hand, in many situations one has or one conjectures a much better behavior. One may ask,...
Chern classes of matrices over Noetherian rings.
Complete intersection augmented algebras.
Complete intersection dimension
Construction of families of curves from finite length graded modules.
Ecuaciones lineales y anillos conmutativos.
Evolutions, symbolic squares, and Fitting ideals.
Generic determinantal schemes and the smoothability of determinantal schemes of codimension 2.
Geometry of arithmetically Gorenstein curves in P4.
We characterize the postulation character of arithmetically Gorenstein curves in P4. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P4 with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
Glicci versus Glicog.
Gorenstein points in .