On the Castelnuovo-Mumford regularity of connected curves

DOI10.1090/S0002-9947-05-03671-8zbMath1081.14048arXivmath/0309051MaRDI QIDQ5694983

Daniel Giaimo

Publication date: 6 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309051

zbMATH Keywords

syzygy moduleEisenbud-Goto conjectureregularity of a curve

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Curves in algebraic geometry (14H99)

Related Items

A Castelnuovo-Mumford regularity bound for threefolds with rational singularities, Regularity Bounds by Projection, Generic initial ideals of singular curves in graded lexicographic order, The regularity conjecture for prime ideals in polynomial rings, Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties, On a conjecture by Griffiths and Harris concerning certain Noether–Lefschetz loci, A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings, Syzygies over a polynomial ring, Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings, Notes on regularity stabilization, The degree-complexity of the defining ideal of a smooth integral curve, Decomposition of Semigroup Algebras, Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements, Regulating Hartshorne's connectedness theorem, Castelnuovo-Mumford regularity bounds for singular surfaces, Effective bounds on the dimensions of Jacobians covering abelian varieties, Bounds on the Castelnuovo-Mumford regularity of tensor products, Counterexamples to the Eisenbud–Goto regularity conjecture, An Eisenbud-Goto-type upper bound for the Castelnuovo-Mumford regularity of fake weighted projective spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Linear free resolutions and minimal multiplicity
• On a theorem of Castelnuovo, and the equations defining space curves
• A Castelnuovo bound for smooth surfaces
• A sharp Castelnuovo bound for smooth surfaces
• On projective varieties of minimal degree
• Generic projections, the equations defining projective varieties and Castelnuovo regularity
• Local differential geometry and generic projections of threefolds
• Bounds on the Castelnuovo-Mumford regularity of tensor products
• Castelnuovo-Mumford regularity bound for smooth threefolds in P5 and extremal examples
• What is the Rees algebra of a module?