IMPANGA lecture notes on log canonical thresholds<br>Notes by Tomasz Szemberg

DOI10.4171/114-1/16zbMath1271.14025arXiv1107.2676OpenAlexW4245143666MaRDI QIDQ4898123

Mircea Mustaţă

Publication date: 29 December 2012

Published in: EMS Series of Congress Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2676

zbMATH Keywords

log canonical thresholdmultiplier idealF-pure thresholdACC conjectureArnold multiplicity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)

Related Items (18)

Characteristic functions of 𝑝-adic integral operators ⋮ Floer cohomology, multiplicity and the log canonical threshold ⋮ A log Canonical Threshold Test ⋮ Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients ⋮ Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals ⋮ Contribution of jumping numbers by exceptional divisors. With an appendix by Karen E. Smith, Kevin Tucker. ⋮ Log canonical threshold and diagonal ideals ⋮ On singularity properties of convolutions of algebraic morphisms ⋮ Log canonical threshold and Segre classes of monomial schemes ⋮ Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras ⋮ The motivic Igusa zeta function of a space monomial curve with a plane semigroup ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On a conjecture of Teissier: the case of log canonical thresholds ⋮ Frobenius splitting of valuation rings and \(F\)-singularities of centers ⋮ On the log canonical threshold and numerical data of a resolution in dimension 2 ⋮ Ensemble equivalence for mean field models and plurisubharmonicity

Uses Software

• Macaulay2

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