Jacobian discrepancies and rational singularities

DOI10.4171/JEMS/430zbMath1334.14022arXiv1404.0762OpenAlexW2121483695MaRDI QIDQ2436090

Roi Docampo, Tommaso de Fernex

Publication date: 21 February 2014

Published in: Inventiones Mathematicae, Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0762

zbMATH Keywords

Jacobiandiscrepancyrational singularityadjunctionDu Bois singularitymultiplier idealNash mapjet schemeNash blow-upArc spacesNash valuationsterminal valuations

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Minimal model program (Mori theory, extremal rays) (14E30) Multiplier ideals (14F18) Arcs and motivic integration (14E18)

Related Items (31)

Finite determination conjecture for Mather-Jacobian minimal log discrepancies and its applications ⋮ Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ On the Briançon-Skoda theorem for analytic local rings with singularities ⋮ Arcology ⋮ Coordinates at stable points of the space of arcs ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Normalized Berkovich spaces and surface singularities ⋮ Polar exploration of complex surface germs ⋮ Deformations of arcs and comparison of formal neighborhoods for a curve singularity ⋮ Arc spaces and wedge spaces for toric varieties ⋮ On the Nash problem for terminal threefolds of type cA/r ⋮ Small quotient minimal log discrepancies ⋮ Nash’s work in algebraic geometry ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Singularities with the highest Mather minimal log discrepancy ⋮ Mather–Jacobian singularities under generic linkage ⋮ Birationally rigid hypersurfaces ⋮ Mather discrepancy and the arc spaces ⋮ The embedded Nash problem of birational models of rational triple singularities ⋮ The Hilbert Series of the Ring Associated to an Almost Alternating Matrix ⋮ A strongly geometric general residual intersection ⋮ Geometric nullstellensatz and symbolic powers on arbitrary varieties ⋮ The arc space of the Grassmannian ⋮ Some Properties and Examples of Log Terminal⁺Singularities ⋮ Contact loci and Hironaka's order ⋮ GENERAL HYPERPLANE SECTIONS OF THREEFOLDS IN POSITIVE CHARACTERISTIC ⋮ Differentials on the arc space ⋮ Embedding codimension of the space of arcs ⋮ The Nash problem and its solution: a survey ⋮ On a generalized canonical bundle formula and generalized adjunction ⋮ Nash blow-ups of jet schemes

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