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Constancy regions of mixed multiplier ideals in two‐dimensional local rings with rational singularities

Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities
Authors: Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran;

Constancy regions of mixed multiplier ideals in two‐dimensional local rings with rational singularities

Abstract

AbstractThe aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two‐dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given by the regions where the mixed multiplier ideals are constant. In particular we reveal which information encoded in a mixed multiplier ideal determines its corresponding jumping wall and we provide an algorithm to compute all the constancy regions, and their corresponding mixed multiplier ideals, in any desired range.

Keywords

:14 Algebraic geometry::14F (Co)homology theory [Classificació AMS], rational singularities, Mixed multiplier ideals, Geometry, Multiplier ideals, Classificació AMS::14 Algebraic geometry::14F (Co)homology theory, Singularities of curves, local rings, :Matemàtiques i estadística::Àlgebra [Àrees temàtiques de la UPC], Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Classificació AMS::14 Algebraic geometry::14H Curves, jumping walls, Geometry, Algebraic, Algebraic, Mathematics - Algebraic Geometry, mixed multiplier ideals, Algebra, Geometria algebraica, :14 Algebraic geometry::14H Curves [Classificació AMS], Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra, FOS: Mathematics, Algebraic Geometry (math.AG), Invariants of analytic local rings

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
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