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D-modules, Bernstein-Sato polynomials and F-invariants of direct summands
(2017-12-01)
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Article.
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We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ...
Poincare series of multiplier ideals in two-dimensional local rings with rational singularities
(2017-01-02)
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Accés obert
Article.
Accés obert
We study the multiplicity of the jumping numbers of an mm-primary ideal a in a two-dimensional local ring with a rational singularity. The formula we provide for the multiplicities leads to a very simple and efficient ...
On Noether's rationality problem for cyclic groups over Q
(2017-06-01)
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Let p be a prime number. Let C p , the cyclic group of order p , permute transitively a set of indeterminates f x 1 ;:::;x p g . We prove that the invariant eld Q ( x 1 ;:::;x p ) C p is rational over Q if and only if the ( p
Poicaré series for mixed multiplier ideals
(2018)
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Article.
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We present a generalization of the Poincaré series to the case of mixed multiplier ideals. For that, we will recall some results about how we can compute the jumping walls associated to a mixed multiplier ideal and introduce ...
A note on Bernstein–Sato ideals
(2022-10-31)
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Article.
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We define the Bernstein–Sato ideal associated to a tuple of ideals and we relate it to the jumping points of the corresponding mixed multiplier ideals.
Higher-dimensional Clifford-Severi equalities
(2019-11-28)
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Abstract.LetXbe a smooth complex projective variety,a:X¿Aa mor-phism to an abelian variety such that Pic0(A) injects into Pic0(X) and letLbe a line bundle onX; denote byh0a(X,L) the minimum ofh0(X,L¿a*a) fora¿Pic0(A). The ...
Effective computation of base points of ideals in two-dimensional local rings
(2018-01-04)
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Article.
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© 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm ...
Local equations for equivariant evolutionary models
(2017-07-31)
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Accés obert
Article.
Accés obert
Phylogenetic varieties related to equivariant substitution models have been studied largely in the last years. One of the main objectives has been finding a set of generators of the ideal of these varieties, but this has ...
Generalized Clifford-Severi inequality and the volume of irregular varieties
(2015-02-15)
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Article.
Accés obert
We give a sharp lower bound for the self-intersection of a nef line bundle L on an irregular variety X in terms of its continuous global sections and the Albanese dimension of X, which we call the generalized Clifford-Severi ...
Multiplier ideals in two-dimensional local rings with rational singularities
(2016)
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Accés restringit per política de l'editorial
Article.
Accés restringit per política de l'editorial
The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal ...