Regularity, singularities and \(h\)-vector of graded algebras
From MaRDI portal
Publication:6567133
DOI10.1090/tran/9089zbMATH Open1542.13001MaRDI QIDQ6567133
Linquan Ma, Hailong Dao, Matteo Varbaro
Publication date: 4 July 2024
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Singularities in algebraic geometry (14B05) Graded rings (13A02) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity of canonical and deficiency modules for monomial ideals
- On the \(h\)-vector of a simplicial complex with Serre's condition
- Eulerian graded \(\mathcal{D}\)-modules
- Linear free resolutions and minimal multiplicity
- \(H\)-vectors of simplicial complexes with Serre's conditions
- The canonical sheaf of Du Bois singularities
- Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
- The purity of the Frobenius and local cohomology
- Laurent coefficients and Ext of finite graded modules
- Etale cohomological dimension and the topology of algebraic varieties
- Mather discrepancy and the arc spaces
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- \(F\)-injectivity and Buchsbaum singularities
- Jacobian discrepancies and rational singularities
- Singularities with respect to Mather-Jacobian discrepancies
- A vanishing theorem for log canonical pairs
- Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities
- Small schemes and varieties of minimal degree
- A Simple Characterization of Du Bois Singularities
- Complete Intersections and Connectedness
- A Remark Concerning Multiplicities
- Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
- Mather–Jacobian singularities under generic linkage
- The Geometry of Syzygies
- Liaison and Castelnuovo-Mumford regularity
- Cohomologically Full Rings
- Deformations of log canonical and $F$-pure singularities
- Local cohomology of Du Bois singularities and applications to families
- Stabilization of the cohomology of thickenings
- Gröbner deformations and F‐singularities
This page was built for publication: Regularity, singularities and \(h\)-vector of graded algebras