Arithmetically Buchsbaum divisors on varieties of minimal degree

DOI10.1090/S0002-9947-99-02357-0zbMath0941.14016MaRDI QIDQ4257586

Uwe Nagel

Publication date: 31 August 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Castelnuovo-Mumford regularitylocal cohomologyvarieties of minimal degreerational normal scrollBuchsbaum schemearithmetically Buchsbaum non-Cohen-Macaulay divisors

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (20)

Gorenstein biliaison and ACM sheaves ⋮ Unnamed Item ⋮ Smooth varieties of almost minimal degree ⋮ On syzygies of divisors on rational normal scrolls ⋮ Characterization of projective varieties beyond varieties of minimal degree and del Pezzo varieties ⋮ Curves of degree two and ropes on a line: Their ideals and even liaison classes. ⋮ Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers. ⋮ On varieties of almost minimal degree. III: Tangent spaces and embedding scrolls ⋮ Projective curves with next to sharp bounds on Castelnuovo-Mumford regularity ⋮ Buchsbaum varieties with next to sharp bounds on Castelnuovo-Mumford regularity ⋮ Projective curves of degree=codimension+2 ⋮ On curves lying on a rational normal surface scroll ⋮ Defining Equations of Rational Curves in Smooth Quadric Surface ⋮ Darboux-Jouanolou-Ghys integrability for one-dimensional foliations on toric varieties ⋮ Gorenstein liaison on divisors on standard determinantal schemes and on rational normal scrolls. ⋮ Separators of points on algebraic surfaces ⋮ Projective curves of degree=codimension+2 II ⋮ The weak and strong Lefschetz properties for Artinian \(K\)-algebras ⋮ Higher syzygies of hyperelliptic curves ⋮ Generic hyperplane section of curves and an application to regularity bounds in positive characteristic

Cites Work

• Faisceaux algébriques cohérents
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• On a theorem of Castelnuovo, and the equations defining space curves
• Castenuovo bounds for certain subvarieties in \({\mathbb{P}}^ n\)
• The genus of space curves
• On equations defining arithmetically Cohen-Macaulay schemes. I
• The syzygy problem
• Some linear syzygy conjectures
• Degree bounds for the defining equations of arithmetically Cohen-Macalay varieties
• Bounding cohomological Hilbert functions by hyperplane sections
• On the defining equations and syzygies of arithmetically Cohen-Macaulay varieties in arbitrary characteristic
• On Singular Curves in the Case of Positive Characteristic
• Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity
• Lectures on Curves on an Algebraic Surface. (AM-59)
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