Graded mapping cone theorem, multisecants and syzygies

DOI10.1016/j.jalgebra.2010.07.030zbMath1232.14035arXiv0804.3757OpenAlexW2069408643WikidataQ112881513 ScholiaQ112881513MaRDI QIDQ716460

Sijong Kwak, Jeaman Ahn

Publication date: 22 September 2011

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

Full work available at URL: https://arxiv.org/abs/0804.3757

zbMATH Keywords

linear syzygiesCastelnuovo-Mumford regularitypartial elimination idealmapping cone

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05)

Related Items (13)

A note on special cubic fourfolds of small discriminants ⋮ On projective curves of next to maximal regularity ⋮ Classification and geometric properties of surfaces with property \(\mathbf{N}_{3,3}\) ⋮ On varieties of almost minimal degree. III: Tangent spaces and embedding scrolls ⋮ On 3-linear varieties of codimension 2 ⋮ On surfaces of maximal sectional regularity ⋮ The regularity of partial elimination ideals, Castelnuovo normality and syzygies ⋮ On syzygies, degree, and geometric properties of projective schemes with property \(\mathbb{N}_{3, p}\) ⋮ On linear projections of quadratic varieties ⋮ Algebraic invariants of projections of varieties and partial elimination ideals ⋮ The reduction number and degree bound of projective subschemes ⋮ On Syzygies of Projected Algebraic Curves ⋮ Analysis on some infinite modules, inner projection, and applications

Uses Software

• Macaulay2

Cites Work

• Higher linear syzygies of inner projections
• On a theorem of Castelnuovo, and the equations defining space curves
• On the projective normality of complete linear series on an algebraic curve
• A sharp Castelnuovo bound for smooth surfaces
• On the \(k\)-normality of projected algebraic varieties.
• On syzygies of non-complete embedding of projective varieties
• Projective curves of degree=codimension+2
• Restricting linear syzygies: algebra and geometry
• Arithmetic properties of projective varieties of almost minimal degree
• Fibers of generic projections
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• Some effects of propertyN_pon the higher normality and defining equations of nonlinearly normal varieties
• A bound on the Castelnuovo-Mumford regularity for curves.
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