Generic projections, the equations defining projective varieties and Castelnuovo regularity

DOI10.1007/PL00004809zbMath0971.14001OpenAlexW2091249048MaRDI QIDQ1579090

Sijong Kwak

Publication date: 4 December 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004809

zbMATH Keywords

Castelnuovo-Mumford regularityarithmetic genusCohen-Macaulay curvesCohen-Macaulay surfaces

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Surfaces and higher-dimensional varieties (14J99) Projective techniques in algebraic geometry (14N05) Relevant commutative algebra (14A05)

Related Items (15)

A Castelnuovo-Mumford regularity bound for threefolds with rational singularities ⋮ Regularity Bounds by Projection ⋮ On the complexity of the integral closure ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ A Castelnuovo-Mumford regularity bound for scrolls ⋮ Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties ⋮ Syzygies over a polynomial ring ⋮ Syzygies of curves in products of projective spaces ⋮ On the Castelnuovo-Mumford regularity of connected curves ⋮ The degree-complexity of the defining ideal of a smooth integral curve ⋮ Fibers of generic projections ⋮ On trisecant lines to White surfaces ⋮ Castelnuovo-Mumford regularity bounds for singular surfaces ⋮ A bound for Castelnuovo-Mumford regularity by double point divisors ⋮ Regularity of smooth curves in biprojective spaces

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