1 citations · 3 across the 16 of their papers we have counts for
24 papers
Morse resolutions of monomial ideals and Betti splittings
Josep Àlvarez Montaner, María Lucía Aparicio García, Amir Mafi
We use discrete Morse theory to study free resolutions of monomial ideals in combination with splitting techniques. We establish the minimality of such pruned resolutions for sever…
Lyubeznik tables of and rings
Josep Àlvarez Montaner, Siamak Yassemi
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 or…
Multiplier ideals of meromorphic functions in dimension two
Maria Alberich-Carramiñana, Josep Àlvarez Montaner, Roger Gómez-López
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 af…
Limit distribution of Hodge spectral exponents of irreducible plane curve singularities
Maria Alberich-Carramiñana, Josep Àlvarez Montaner, Roger Gómez-López
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 differe…
Bernstein-Sato polynomial and related invariants for meromorphic functions
Josep Àlvarez Montaner, Manuel González Villa, Edwin León-Cardenal +1
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…
A note on Bernstein-Sato ideals
Josep Àlvarez Montaner
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.