Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Josep, Álvarez"'
We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition $S_r$ or they are Cohen-Macaulay in a given codimension, condition denoted by $
Externí odkaz:
http://arxiv.org/abs/2407.20129
We provide an effective method to compute multiplier ideals of meromorphic functions in dimension two. We also prove that meromorphic functions only have integer jumping numbers after reaching some threshold.
Comment: 12 pages, 0 figures
Comment: 12 pages, 0 figures
Externí odkaz:
http://arxiv.org/abs/2405.04745
We study the distribution of the Hodge spectral exponents of an irreducible plane curve by comparing it with a continuous distribution. We provide a closed formula for this difference in terms of numerical invariants of the curve. We characterize tho
Externí odkaz:
http://arxiv.org/abs/2405.04504
Autor:
Montaner, Josep Àlvarez, Villa, Manuel González, León-Cardenal, Edwin, Núñez-Betancourt, Luis
We develop a theory of Bernstein-Sato polynomials for meromorphic functions and we use it to study the analytic continuation of Archimedian local zeta functions in this setting. We also introduce both an analytic and an algebraic theory of multiplier
Externí odkaz:
http://arxiv.org/abs/2112.08492
Autor:
Montaner, Josep Àlvarez
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.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2109.00244
This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.
Comment: 64 pages. Minor changes
Comment: 64 pages. Minor changes
Externí odkaz:
http://arxiv.org/abs/2106.08830
Autor:
Montaner, Josep Àlvarez, Hernández, Daniel J., Jeffries, Jack, Núñez-Betancourt, Luis, Teixeira, Pedro, Witt, Emily E.
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly F-regular finitely generated graded algebras with FFRT in prime chara
Externí odkaz:
http://arxiv.org/abs/2103.02986
We prove the rationality of the Poincar\'e series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carrami\~nana et al. Our results also hold for Poincar\'e series of test id
Externí odkaz:
http://arxiv.org/abs/2102.08024
Divisors whose Jacobian ideal is of linear type have received a lot of attention recently because of its connections with the theory of D-modules. In this work we are interested on divisors of expected Jacobian type, that is, divisors whose gradient
Externí odkaz:
http://arxiv.org/abs/2004.08652
Autor:
Montaner, Josep Àlvarez, Hernández, Daniel J., Jeffries, Jack, Núñez-Betancourt, Luis, Teixeira, Pedro, Witt, Emily E.
This paper investigates the existence and properties of a Bernstein-Sato functional equation in nonregular settings. In particular, we construct $D$-modules in which such formal equations can be studied. The existence of the Bernstein-Sato polynomial
Externí odkaz:
http://arxiv.org/abs/1907.10017