Local differential geometry and generic projections of threefolds

DOI10.4310/jdg/1214445040zbMath0788.14037OpenAlexW1895862108WikidataQ115182138 ScholiaQ115182138MaRDI QIDQ1813982

Ziv Ran

Publication date: 25 June 1992

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214445040

zbMATH Keywords

vanishing of cohomology4-secant lines of a threefoldgeneric projections of threefolds

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (3)-folds (14J30)

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A Castelnuovo-Mumford regularity bound for threefolds with rational singularities ⋮ Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity ⋮ Regularity Bounds by Projection ⋮ Generic initial ideals of singular curves in graded lexicographic order ⋮ Open problems on syzygies and Hilbert functions ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties ⋮ A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings ⋮ A new Castelnuovo bound for codimension three subvarieties ⋮ Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings ⋮ Singularities of Rees-like algebras ⋮ On the Castelnuovo-Mumford regularity of connected curves ⋮ The degree-complexity of the defining ideal of a smooth integral curve ⋮ Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties ⋮ Regularity of structure sheaves of varieties with isolated singularities ⋮ Counterexamples to the Eisenbud–Goto regularity conjecture ⋮ Castelnuovo-Mumford regularity of simplicial toric rings.

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