Poincaré series of multiplier and test ideals
From MaRDI portal
Publication:2104857
DOI10.4171/RMI/1347MaRDI QIDQ2104857
Luis Núñez-Betancourt, Josep Àlvarez Montaner
Publication date: 8 December 2022
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08024
Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- \(D\)-modules over rings with finite F-representation type
- 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
- \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands
- Jumping coefficients of multiplier ideals
- Discrepancies of non-\(\mathbb Q\)-Gorenstein varieties
- Multiplicities of jumping points for mixed multiplier ideals
- On the discreteness and rationality of \(F\)-jumping coefficients
- Multiplicities of jumping numbers
- Geometric interpretation of tight closure and test ideals
- The multiplier ideal is a universal test ideal
- A survey of test ideals
- Test ideals in non-$\mathbb{Q}$-Gorenstein rings
- A note on discreteness of 𝐹-jumping numbers
- Ordinary varieties and the comparison between multiplier ideals and test ideals
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Singularities on normal varieties
- $F$-thresholds of hypersurfaces
- Homological Invariants of Powers of an Ideal
- TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS – CORRIGENDUM
- TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS
- On a generalization of test ideals
- A generalization of tight closure and multiplier ideals
- An interpretation of multiplier ideals via tight closure
- Test ideals via algebras of 𝑝^{-𝑒}-linear maps
- Measuring Singularities with Frobenius: The Basics
- Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties
This page was built for publication: Poincaré series of multiplier and test ideals