An Eisenbud-Goto-type upper bound for the Castelnuovo-Mumford regularity of fake weighted projective spaces

DOI10.1007/978-3-030-98327-7_12zbMath1502.14130arXiv1902.03730OpenAlexW2914368385MaRDI QIDQ2106295

Bach Tran

Publication date: 14 December 2022

Full work available at URL: https://arxiv.org/abs/1902.03730

zbMATH Keywords

toric varietyCastelnuovo-Mumford regularity\(k\)-normalityEinsenbud-Goto conjecturevery ample lattice simplex

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• Linear free resolutions and minimal multiplicity
• Very ample and Koszul segmental fibrations
• Lattice polytopes having \(h^*\)-polynomials with given degree and linear coefficient
• A sharp Castelnuovo bound for smooth surfaces
• A lower bound theorem for Ehrhart polynomials of convex polytopes
• A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements.
• \(k\)-normality of weighted projective spaces
• Counterexamples to the Eisenbud–Goto regularity conjecture
• Syzygies, multigraded regularity and toric varieties
• Polytopes, Rings, and K-Theory
• Decompositions of Rational Convex Polytopes
• Equations Defining Toric Varieties
• Ehrhart Theory of Spanning Lattice Polytopes
• Sharp bounds on Castelnuovo-Mumford regularity
• On the Castelnuovo-Mumford regularity of connected curves
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