Titlebook: Commutative Algebra, Singularities and Computer Algebra; Proceedings of the N Jürgen Herzog,Victor Vuletescu Conference proceedings 2003 Sp

幻想

Bounds for Castelnuovo-Mumford Regularity in Terms of Degrees of Defining Equations,We present here some of our (often shared) work on Castelnuovo-Mumford regularity, give few applications to Gr?bner basis theory and show some examples.

Stress-Fracture

LATHE

斷斷續(xù)續(xù)

Torsion in Tensor Powers and Flatness,We prove a result connecting the torsion-freeness of the symmetric powers and the flatness of an algebra over a noetherian ring containing ?.

Neuralgia

output

On Sagbi Bases and Resultants,A resultant-type identity for univariate polynomials is proved and applied to characterization of SAGBI bases of subalgebras, generated by two polynomials. Besides a new condition for polynomials . and . to form a SAGBI basis, expressed in terms of field extensions is derived.

合法

The Computer Algebra Package Bergman: Current State,ent for calculating Gr?bner basis in several situations: commutative and non-commutative algebras, modules over them..Besides Gr?bner bases it provides some facilities to calculate appropriate invariants of the algebras and modules, such as the Hilbert series, and (in the non-commutative case only),

BRIEF

Monomialization and Ramification of Valuations,lds of characteristic 0. We also present some applications of this theory. We discuss our generalization of the classical theory of ramification of local Dedekind domains to general valuations, which is joint work with Olivier Piltant.

SEVER

Hyperplane Arrangements, M-Tame Polynomials and Twisted Cohomology,ups of affine complex hyperplane arrangement complements is introduced and explored..This approach gives in particular new upper-bounds for the dimension of the twisted cohomology groups of line arrangement complements in the complex affine plane.

合唱隊