Conjectures and Computations about Veronese Syzygies

DOI10.1080/10586458.2018.1474506zbMath1460.14134arXiv1711.03513OpenAlexW2962790598WikidataQ123272346 ScholiaQ123272346MaRDI QIDQ5857710

Juliette Bruce, Daniel Erman, Steve Goldstein, Jay Yang

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03513

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Projective techniques in algebraic geometry (14N05) Computational homological algebra (13P20)

Related Items (7)

The Schur-Veronese package in Macaulay2 ⋮ Subadditivity of Syzygies of Ideals and Related Problems ⋮ Asymptotic syzygies of secant varieties of curves ⋮ Asymptotic vanishing of syzygies of algebraic varieties ⋮ Equivariant resolutions over Veronese rings ⋮ Syzygies of \(\mathbb{P}^1 \times \mathbb{P}^1\): data and conjectures ⋮ Computing graded Betti tables of toric surfaces

Uses Software

• Macaulay2
• Matlab
• HTCondor
• Open Science Grid

Cites Work

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• Derived supersymmetries of determinantal varieties
• Asymptotic syzygies of algebraic varieties
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Koszul cohomology and the geometry of projective varieties. II
• Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
• Maintaining LU factors of a general sparse matrix
• Asymptotics of random Betti tables
• Syzygies of the Veronese Modules
• Boij-S\"oderberg theory: Introduction and survey
• The Betti table of a high degree curve is asymptotically pure
• Betti numbers of graded modules and cohomology of vector bundles
• A quick proof of nonvanishing for asymptotic syzygies
• Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
• Computing graded Betti tables of toric surfaces
• Computations in algebraic geometry with Macaulay 2

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