Jumping numbers on algebraic surfaces with rational singularities

DOI10.1090/S0002-9947-09-04956-3zbMath1194.14026arXiv0801.0734MaRDI QIDQ3566714

Kevin Tucker

Publication date: 8 June 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0734

zbMATH Keywords

surfaceplane curverational singularitymultiplier idealjumping number

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Divisors, linear systems, invertible sheaves (14C20) Multiplier ideals (14F18)

Related Items (18)

Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities ⋮ On divisors computing MLD's and LCT's ⋮ Contribution of jumping numbers by exceptional divisors. With an appendix by Karen E. Smith, Kevin Tucker. ⋮ The correction term for the Riemann-Roch formula of cyclic quotient singularities and associated invariants ⋮ Multiplicities of jumping numbers ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ A modified coefficient ideal for use with the strict transform ⋮ A short note on the multiplier ideals of monomial space curves ⋮ Jumping numbers and ordered tree structures on the dual graph ⋮ The log-canonical threshold of a plane curve ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface ⋮ Computing jumping numbers in higher dimensions ⋮ A formula for jumping numbers in a two-dimensional regular local ring ⋮ Multiplier ideals in two-dimensional local rings with rational singularities ⋮ Multiplier ideals of monomial space curves ⋮ Multiplicities of jumping points for mixed multiplier ideals ⋮ Monomial generators of complete planar ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational singularities associated to pairs
• Poles of the topological zeta function associated to an ideal in dimension two
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Integrally closed ideals in two-dimensional regular local rings are multiplier ideals
• Le polynôme d'Alexander d'une courbe plane projective. (The Alexander polynomial of a projective plane curve)
• Jumping coefficients of multiplier ideals
• The valuative tree
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Multiplier ideals of monomial ideals
• Jumping numbers of a simple complete ideal in a two-dimensional regular local ring
• Introduction to Toric Varieties. (AM-131)
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Vanishing theorems.
• On a non-vanishing conjecture of Kawamata and the core of an ideal
• Valuations and multiplier ideals
• Irregularite des Revetements Cycliques des Surfaces Projectives Non Singulieres
• Basic Algebraic Geometry 1
• On Isolated Rational Singularities of Surfaces

This page was built for publication: Jumping numbers on algebraic surfaces with rational singularities