Linear normality of general linear sections and some graded Betti numbers of 3-regular projective schemes

DOI10.1016/j.jalgebra.2015.06.030zbMath1327.14231arXiv1404.1757OpenAlexW2963802929WikidataQ112881611 ScholiaQ112881611MaRDI QIDQ2515649

Kangjin Han, Jeaman Ahn

Publication date: 5 August 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1757

zbMATH Keywords

graded Betti numbersgeneric initial idealslinear normality3-regular scheme

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05)

Uses Software

• Macaulay2

Cites Work

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• A criterion for detecting m-regularity
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Some geometric results arising from the Borel fixed property
• Minimal resolutions of some monomial ideals
• On graded Betti numbers and geometrical properties of projective varieties
• Sharp bounds for higher linear syzygies and classifications of projective varieties
• On syzygies, degree, and geometric properties of projective schemes with property \(\mathbb{N}_{3, p}\)
• Restricting linear syzygies: algebra and geometry
• The Geometry of Syzygies
• Generic Initial Ideals and Distractions
• Lectures on Curves on an Algebraic Surface. (AM-59)

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