Hodge filtration, minimal exponent, and local vanishing

DOI10.1007/s00222-019-00933-xzbMath1446.14009arXiv1901.05780OpenAlexW3101281486WikidataQ126840563 ScholiaQ126840563MaRDI QIDQ1985458

Mircea Mustaţă, Mihnea Popa

Publication date: 7 April 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05780

zbMATH Keywords

minimal exponentvanishing cyclesHodge filtrationnearby cyclesHodge idealslocal vanishing

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Singularities of surfaces or higher-dimensional varieties (14J17) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items (7)

Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension ⋮ Hodge ideals of free divisors ⋮ The Du Bois complex of a hypersurface and the minimal exponent ⋮ An algorithm for Hodge ideals ⋮ Weighted Hodge ideals of reduced divisors ⋮ Hodge ideals for the determinant hypersurface ⋮ On singularity properties of convolutions of algebraic morphisms ‐ the general case

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• LOCAL VANISHING AND HODGE FILTRATION FOR RATIONAL SINGULARITIES
• 𝒟-MODULES IN BIRATIONAL GEOMETRY
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