Projective toric varieties of codimension 2 with maximal Castelnuovo-Mumford regularity

DOI10.1016/j.jpaa.2022.107162zbMath1495.14076arXiv2106.12667OpenAlexW3175184322MaRDI QIDQ2161126

Vijay Srinivasan, Preston Cranford, Alan Peng

Publication date: 4 August 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12667

zbMATH Keywords

toric varietyGale diagramlattice idealEisenbud-Goto inequality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
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• Counterexamples to the Eisenbud–Goto regularity conjecture
• Castelnuovo-Mumford regularity and the reduction number of some monomial curves
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• Castelnuovo–Mumford regularity of simplicial semigroup rings with isolated singularity
• Degree and Algebraic Properties of Lattice and Matrix Ideals

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