\(\mathbb{Q}\)-Hilbert functions of multiplier and test ideals

DOI10.1007/978-3-030-84800-2_1MaRDI QIDQ6603878

Josep Àlvarez Montaner, Luis Núñez-Betancourt

Publication date: 12 September 2024

Mathematics Subject Classification ID

Differential geometry (53-XX)

Cites Work

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• Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities
• Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems
• Discreteness and rationality of \(F\)-thresholds
• Discreteness and rationality of \(F\)-jumping numbers on singular varieties
• Hilbert functions of filtered modules
• The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
• Jumping coefficients of multiplier ideals
• Discrepancies of non-\(\mathbb Q\)-Gorenstein varieties
• Poincaré series of multiplier and test ideals
• Multiplicities of jumping points for mixed multiplier ideals
• Test ideals in non-$\mathbb{Q}$-Gorenstein rings
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Singularities on normal varieties
• A generalization of tight closure and multiplier ideals
• Test ideals via algebras of 𝑝^{-𝑒}-linear maps

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