Jumping numbers of a simple complete ideal in a two-dimensional regular local ring

DOI10.1090/S0065-9266-2011-00597-6zbMath1233.13008arXivmath/0611587OpenAlexW4229868992MaRDI QIDQ3112536

Tarmo Järvilehto

Publication date: 10 January 2012

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

Full work available at URL: https://arxiv.org/abs/math/0611587

zbMATH Keywords

plane curve singularitylog-canonical thresholdMultiplier ideals

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Regular local rings (13H05) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02)

Related Items (10)

Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities ⋮ Multiplicities of jumping numbers ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ Enumerating odd-degree hyperelliptic curves and abelian surfaces over \(\mathbb{P}^1\) ⋮ Jumping numbers and ordered tree structures on the dual graph ⋮ Jumping numbers on algebraic surfaces with rational singularities ⋮ The log-canonical threshold of a plane curve ⋮ Mixed multiplier ideals and the irregularity of abelian coverings of smooth projective surfaces ⋮ A formula for jumping numbers in a two-dimensional regular local ring ⋮ Multiplicities of jumping points for mixed multiplier ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobian ideals and a theorem of Briancon-Skoda
• Algebroid curves in positive characteristic
• Integrally closed ideals in two-dimensional regular local rings are multiplier ideals
• Jumping coefficients of multiplier ideals
• Clusters of infinitely near points
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• Multiplier ideals of monomial ideals
• CONES OF CURVES AND OF LINE BUNDLES ON SURFACES ASSOCIATED WITH CURVES HAVING ONE PLACE AT INFINITY
• Valuations in Function Fields of Surfaces
• On log canonical thresholds of reducible plane curves
• Irregularite des Revetements Cycliques des Surfaces Projectives Non Singulieres

This page was built for publication: Jumping numbers of a simple complete ideal in a two-dimensional regular local ring