scholarly journals Degree bounds for local cohomology

2020 ◽  
Vol 121 (5) ◽  
pp. 1251-1267
Author(s):  
Andrew R. Kustin ◽  
Claudia Polini ◽  
Bernd Ulrich
Keyword(s):  
Local Cohomology ◽  
Degree Bounds

scholarly journals Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity

1998 ◽  
Vol 152 ◽  
pp. 153-174 ◽  
Author(s):  
Uwe Nagel ◽  
Peter Schenzel
Keyword(s):  
Local Cohomology ◽  
Degree Bounds ◽  
Local Cohomology Modules ◽  
Cohomology Modules

Abstract.By extending Mumford’s result on the generating by global sections there are estimates on the degree for generators of local cohomology modules. These arguments provide bounds on the Castelnuovo-Mumford regularity, in particular for Cohen-Macaulay varieties. As an application they imply a few more cases of varieties that satisfy a conjecture posed by Eisenbud and Gôto.

scholarly journals CONSTRUCTIVE NONCOMMMUTATIVE INVARIANT THEORY

2021 ◽  
Author(s):  
MÁTYÁS DOMOKOS ◽  
VESSELIN DRENSKY
Keyword(s):  
Lie Algebra ◽  
Associative Algebra ◽  
Invariant Theory ◽  
Reductive Group ◽  
Symmetric Tensor ◽  
Free Associative Algebra ◽  
Tensor Algebra ◽  
Enveloping Algebra ◽  
Finite Dimensional ◽  
Degree Bounds

AbstractThe problem of finding generators of the subalgebra of invariants under the action of a group of automorphisms of a finite-dimensional Lie algebra on its universal enveloping algebra is reduced to finding homogeneous generators of the same group acting on the symmetric tensor algebra of the Lie algebra. This process is applied to prove a constructive Hilbert–Nagata Theorem (including degree bounds) for the algebra of invariants in a Lie nilpotent relatively free associative algebra endowed with an action induced by a representation of a reductive group.

scholarly journals Artinianness of local cohomology modules

2014 ◽  
Vol 52 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Moharram Aghapournahr ◽  
Leif Melkersson
Keyword(s):  
Local Cohomology ◽  
Local Cohomology Modules ◽  
Cohomology Modules

On the associated primes of local cohomology modules

1999 ◽  
Vol 27 (12) ◽  
pp. 6191-6198 ◽  
Author(s):  
K. Khashyarmanesh ◽  
Sh Salarian
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

scholarly journals Local cohomology of certain Rees- and form-rings, I

1983 ◽  
Vol 81 (1) ◽  
pp. 29-57 ◽  
Author(s):  
Markus Brodmann
Keyword(s):  
Local Cohomology
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