A generalized Serre’s condition
DOI10.1080/00927872.2018.1539167zbMath1411.13017arXiv1710.02631OpenAlexW2963957931MaRDI QIDQ5382956
Publication date: 19 June 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02631
Stanley-Reisner ringpolarizationsimplicial complexcohomological dimensionAlexander dualSerre conditionHochster-Huneke graphReisner's criterion
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Simplicial complexes satisfying Serre's condition: a survey with some new results
- On the vanishing of local cohomology modules
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- \(H\)-vectors of simplicial complexes with Serre's conditions
- Local cohomological dimension of algebraic varieties
- Cohen-Macaulay quotients of polynomial rings
- Resolutions of Stanley-Reisner rings and Alexander duality
- Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
- On the diameter of dual graphs of Stanley-Reisner rings and Hirsch type bounds on abstractions of polytopes
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Regulating Hartshorne's connectedness theorem
- Cohomological dimension of algebraic varieties
- On the radical of a monomial ideal
- Cohomological and projective dimensions
- On the Dual Graphs of Cohen–Macaulay Algebras
- Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs
- Complete Intersections and Connectedness
- On the relationship between depth and cohomological dimension
- Connectedness and Lyubeznik Numbers
This page was built for publication: A generalized Serre’s condition
