A priori bounds of Castelnuovo type for cohomological Hilbert functions.
A problem on coefficient fields and equations over local rings
A procedure to compute prime filtration
Let K be a field, S = K[x 1, … x n] be a polynomial ring in n variables over K and I ⊂ S be an ideal. We give a procedure to compute a prime filtration of S/I. We proceed as in the classical case by constructing an ascending chain of ideals of S starting from I and ending at S. The procedure of this paper is developed and has been implemented in the computer algebra system Singular.
A Product Theorem for Lattices over Orders.
A proof of Pisot's th root conjecture.
A property of non excellent rings.
À propos des théories de Galois finies et infinies
À propos d'un théorème de Mori-Nagata
A purity theorem for the Witt group
A realization of -groups
A reciprocity law for K2-traces.
A regularity criterion for semigroup rings.
A remark on a conjecture of Hain and Looijenga
We show that the natural generalization of a conjecture of Hain and Looijenga to the case of pointed curves holds for all and if and only if the tautological rings of the moduli spaces of curves with rational tails and of stable curves are Gorenstein.
A Remark on a Paper of Crachiola and Makar-Limanov
A. Crachiola and L. Makar-Limanov [J. Algebra 284 (2005)] showed the following: if X is an affine curve which is not isomorphic to the affine line , then ML(X×Y) = k[X]⊗ ML(Y) for every affine variety Y, where k is an algebraically closed field. In this note we give a simple geometric proof of a more general fact that this property holds for every affine variety X whose set of regular points is not k-uniruled.
A Remark on Almost Complete Intersections.
A remark on Hodge algebras and Gröbner bases
A remark on Koszul complexes.
A remark on projectively closed purities
A Remark on Pure Ideals and Projective Modules.
A Remark on Rings with Primary Ideals as Maximal Ideals.