Hodge ideals for \(\mathbf{Q}\)-divisors: birational approach

DOI10.5802/jep.94zbMath1427.14045arXiv1807.01932OpenAlexW2946459572MaRDI QIDQ2423228

Mircea Mustaţă, Mihnea Popa

Publication date: 21 June 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01932

zbMATH Keywords

minimal exponentHodge filtrationvanishing theoremslog resolution\(\mathcal D\)-modulesHodge ideals

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) Complex surface and hypersurface singularities (32S25) Divisors, linear systems, invertible sheaves (14C20) Multiplier ideals (14F18)

Related Items

Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension ⋮ Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Hodge ideals of free divisors ⋮ Characteristic cycles associated to holonomic \({\mathscr{D}} \)-modules ⋮ Hodge ideals and spectrum of isolated hypersurface singularities ⋮ Minimal exponents of hyperplane sections: a conjecture of Teissier ⋮ An algorithm for Hodge ideals ⋮ HODGE IDEALS FOR -DIVISORS, -FILTRATION, AND MINIMAL EXPONENT ⋮ Weighted Hodge ideals of reduced divisors ⋮ Hodge filtration, minimal exponent, and local vanishing ⋮ On a question of Teissier ⋮ Weighted multiplier ideals of reduced divisors

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