幻想
发表于 2025-3-28 16:18:40
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 Gröbner basis theory and show some examples.
Stress-Fracture
发表于 2025-3-28 21:32:42
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LATHE
发表于 2025-3-29 00:08:38
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断断续续
发表于 2025-3-29 06:05:06
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 ℚ.
Neuralgia
发表于 2025-3-29 07:16:08
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output
发表于 2025-3-29 12:56:22
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
发表于 2025-3-29 18:39:54
The Computer Algebra Package Bergman: Current State,ent for calculating Gröbner basis in several situations: commutative and non-commutative algebras, modules over them..Besides Gröbner 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
发表于 2025-3-29 23:09:27
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
发表于 2025-3-29 23:52:21
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.
合唱队
发表于 2025-3-30 08:08:25
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