A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings

DOI10.1142/S021949881550098XzbMath1334.13021OpenAlexW2114481488MaRDI QIDQ5255718

Jen-Chieh Hsiao

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881550098x

zbMATH Keywords

tangent bundlebig vector bundle\(D\)-simple ring

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Commutative rings of differential operators and their modules (13N10)

Related Items (11)

Bernstein-Sato Polynomials in Commutative Algebra ⋮ Local Cohomology—An Invitation ⋮ Positivity of the diagonal ⋮ On moment map and bigness of tangent bundles of \(G\)-varieties ⋮ Examples of Fano manifolds with non‐pseudoeffective tangent bundle ⋮ Homogeneous coordinate rings as direct summands of regular rings ⋮ Canonical complex extensions of Kähler manifolds ⋮ Big vector bundles on surfaces and fourfolds ⋮ Symmetry on rings of differential operators ⋮ Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity ⋮ Quantifying singularities with differential operators

Cites Work

• Projective manifolds whose tangent bundles are numerically effective
• Remarks on a conjecture of Nakai
• Projective manifolds with ample tangent bundles
• Stable reflexive sheaves
• 4-folds with numerically effective tangent bundles and second Betti numbers greater than one
• The \(D\)-module structure of \(F\)-split rings
• Cox rings and pseudoeffective cones of projectivized toric vector bundles
• The multiplier ideal is a universal test ideal
• Introduction to Toric Varieties. (AM-131)
• Simplicity of Rings of Differential Operators in Prime Characteristic
• On manifolds whose tangent bundle is big and 1-ample
• $D$-module structure of local cohomology modules of toric algebras
• Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties

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