scholarly journals Local Cohomology at Monomial Ideals

2000 ◽  
Vol 29 (4-5) ◽  
pp. 709-720 ◽  
Author(s):  
Mircea Mustaţa
Keyword(s):  
Local Cohomology ◽  
Monomial Ideals

scholarly journals Local Cohomology of Stanley–Reisner Rings with Supports in General Monomial Ideals

2001 ◽  
Vol 244 (2) ◽  
pp. 706-736 ◽  
Author(s):  
Victor Reiner ◽  
Volkmar Welker ◽  
Kohji Yanagawa
Keyword(s):  
Local Cohomology ◽  
Monomial Ideals

scholarly journals Local cohomology, arrangements of subspaces and monomial ideals

2003 ◽  
Vol 174 (1) ◽  
pp. 35-56 ◽  
Author(s):  
Josep Àlvarez Montaner ◽  
Ricardo Garcı́a López ◽  
Santiago Zarzuela Armengou
Keyword(s):  
Local Cohomology ◽  
Monomial Ideals

scholarly journals Limit behavior of the rational powers of monomial ideals

2021 ◽  
Author(s):  
James Lewis
Keyword(s):  
Local Cohomology ◽  
Integral Closure ◽  
Monomial Ideals ◽  
Limit Behavior ◽  
Associated Primes ◽  
Powers Of Ideals ◽  
Symbolic Powers ◽  
Local Cohomology Modules ◽  
Cohomology Modules

We investigate the rational powers of ideals. We find that in the case of monomial ideals, the canonical indexing leads to a characterization of the rational powers yielding that symbolic powers of squarefree monomial ideals are indeed rational powers themselves. Using the connection with symbolic powers techniques, we use splittings to show the convergence of depths and normalized Castelnuovo–Mumford regularities. We show the convergence of Stanley depths for rational powers, and as a consequence of this, we show the before-now unknown convergence of Stanley depths of integral closure powers. Additionally, we show the finiteness of asymptotic associated primes, and we find that the normalized lengths of local cohomology modules converge for rational powers, and hence for symbolic powers of squarefree monomial ideals.

Local Cohomology at Monomial Ideals inR-Sequences

2008 ◽  
Vol 36 (1) ◽  
pp. 37-52 ◽  
Author(s):  
Hossein Sabzrou ◽  
Massoud Tousi
Keyword(s):  
Local Cohomology ◽  
Monomial Ideals
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