Publications
- Bernstein's inequality and holonomicity for certain singular rings
J. Àlvarez Montaner, D. Hernández, J. Jeffries, L.Núñez-Betancourt, P. Teixeira, E. Witt
International Mathematics Research Notices (2023)
Preprint version: PDF
- A note on Bernstein-Sato ideals
J. Àlvarez Montaner
Revista de la Unión Matemática Argentina 64, No. 2 (2023) 239-246
MCA2021 Special Issue
Preprint version: PDF - Poincaré series of multiplier and test ideals
J. Àlvarez Montaner, L.Núñez-Betancourt
Revista Matemática Iberoamericana 38, No. 6 (2022) 1993-2009.
Preprint version: PDF
- Bernstein-Sato functional equations, V-filtrations and multiplier ideals of direct summands
J. Àlvarez Montaner, D. Hernández, J. Jeffries, L.Núñez-Betancourt, P. Teixeira, E. Witt
Communications in Contemporary Mathematics 24, No. 10 (2022) Paper No. 2150083, 47 pp.
Preprint version: PDF
- Bernstein-Sato polynomials in commutative algebra
J. Àlvarez Montaner, J. Jeffries, L.Núñez-Betancourt
Commutative Algebra (2022)
Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday
Preprint version: PDF - Divisors of expected Jacobian type
J. Àlvarez Montaner, F. Planas-Vilanova
Mathematica Scandinavica 127, No. 2 (2021) 161-184
Preprint version: PDF
- Monomial generators of complete planar ideals.
M. Alberich-Carramiñana, J. Àlvarez Montaner, G. Blanco
Journal of Algebra and its Applications 20, No. 3 (2021) 2150032
Preprint version: PDF
- Bass numbers of local cohomology modules of cover ideals of graphs.
J. Àlvarez Montaner, F. Sohrabi
Journal of Algebraic Combinatorics 53, (2021), 263-297
Preprint version: PDF
- On some local cohomology spectral sequences.
J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
International Mathematics Research Notices 19, (2020), 6197-6293
Preprint version: PDF
- Local cohomology of binomial edge ideals and their generic initial ideals.
J. Àlvarez Montaner
Collectanea Mathematica 71, (2020), 331-348
Preprint version: PDF
- Multiplicities of jumping points of mixed multiplier ideals.
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau,
V. González-Alonso
Revista Matemática Complutense , 33, (2020), 325-348
Preprint version: PDF
- Pruned cellular free resolutions of monomial ideals.
J. Àlvarez Montaner, O.Fernández-Ramos , P.Gimenez
Journal of Algebra , 541, (2020), 126-145
Preprint version: PDF
- Generating functions of Frobenius algebras.
J. Àlvarez Montaner
Linear Algebra and its Applications , 582, (2019), 310-326
Preprint version: PDF
- Koszul complex over skew polynomial rings.
J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
Communications in Algebra , 47, (2019), 2904-2919
Preprint version: PDF
- Effective computation of base points of two-dimensional ideals.
M. Alberich-Carramiñana, J. Àlvarez Montaner, G. Blanco
Journal of Symbolic Computation , 92, (2019), 93-109 .
Preprint version: PDF
- Lyubeznik numbers of local rings and linear strands of graded ideals
J. Àlvarez Montaner, K. Yanagawa
Nagoya Mathematical Journal , 231, (2018), 23-54 .
Preprint version: PDF - Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities.
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau
Mathematische Nachrichten , 291, (2018), 245-263 .
Preprint version: PDF
- D-modules, Bernstein-Sato polynomials and F-invariants of direct summands.
J. Àlvarez Montaner, C.Huneke, L.Núñez-Betancourt
Advances in Mathematics , 321, (2017), 298-325 .
Preprint version: PDF
- Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities.
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau,
V. González-Alonso
Advances in Mathematics , 304, (2017), 769-792 .
Preprint version: PDF
- Multiplier ideals in two-dimensional local rings with rational singularities.
M. Alberich-Carramiñana, J. Àlvarez Montaner, F. Dachs-Cadefau
Michigan Mathematical Journal , 65, (2016), 287-320 .
Preprint version: PDF ( Source codes may be found here ) - Lyubeznik table of sequentially Cohen-Macaulay rings
J. Àlvarez Montaner
Communications in Algebra , 43, (2015), 3695-3704 .
Preprint version: PDF
- Lyubeznik numbers of monomial ideals
J. Àlvarez Montaner, A. Vahidi
Transactions of the American Mathematical Society , 366, (2014), 1829-1855 .
Preprint version: PDF
- Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J.Algebra 358 (2012) 162-177]
J. Àlvarez Montaner, K. Yanagawa
Journal of Algebra , 414, (2014), 300-304 .
Preprint version: PDF
- Local cohomology using Macaulay2
J. Àlvarez Montaner, O.Fernández-Ramos
Lecture Notes in Mathematics , 2083, (2013), 179-185 .
( Source codes may be found here ) - Local cohomology modules supported on monomial ideals
J. Àlvarez Montaner
Lecture Notes in Mathematics , 2083, (2013), 109-178 .
- Frobenius and Cartier algebras of Stanley-Reisner rings
J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
Journal of Algebra , 358, (2012), 162-177 .
Preprint version: PDF
- Localizations at hyperplane arrangements: combinatorics and
D-modules
J. Àlvarez Montaner, F. J. Castro Jiménez, J. M. Ucha Enríquez
Journal of Algebra , 316, (2007), 662-679 .
Preprint version: PDF ( Source codes and outputs may be found here )
- Computing the support of local cohomology modules
J. Àlvarez Montaner, A. Leykin
Journal of Symbolic Computation , 41, (2006), 1328-1344 .
Preprint version: PDF (Source codes and outputs may be found here )
- Generators of D-modules in positive characteristic
J. Àlvarez Montaner, M. Blickle, G. Lyubeznik
Mathematical Research Letters , 12, (2005), 459-473 .
Preprint version: PDF - Operations with regular holonomic D-modules with support a
normal crossing
J. Àlvarez Montaner
Journal of Symbolic Computation , 40, (2005), 999-1012 .
Preprint version: PDF - Characteristic cycles of local cohomology of monomial ideals
II
J. Àlvarez Montaner
Journal of Pure and Applied Algebra , 192, (2004), 1-20 .
Preprint version: PDF - Some numerical invariants of local rings
J. Àlvarez Montaner
Proceedings of the American Mathematical Society , 132, (2004), 861-865 .
Preprint version: PDF - Linearization of local cohomology modules
J. Àlvarez Montaner, S. Zarzuela
Contemporary Mathematics , 331,(2003), 1-11 .
Preprint version: PDF - Local cohomology modules, subspace arrangements and monomial
ideals
J. Àlvarez Montaner, R. García López, S. Zarzuela
Advances in Mathematics , 174,(2003), 35-53 .
Preprint version: PDF - Characteristic cycles of local cohomology of monomial ideals
J. Àlvarez Montaner
Journal of Pure and Applied Algebra , 150, (2000), 1-25 .
Preprint version: PDF
Mixed Bag
- A surprising fact about D-modules in positive characteristic
PDF
J. Àlvarez Montaner, G. Lyubeznik
(The results of this paper are generalized in our joint paper with M. Blickle)
Proceedings
- Lyubeznik numbers of local rings and linear strands of graded ideals
PDF
J. Àlvarez Montaner
Interactions between Representation Theory, Algebraic Topology and Commutative Algebra ,
Ed: Research Perspectives CRM Barcelona, .
- Cohomología local con soporte un ideal monomial
(D-módulos y combinatoria) PDF
J. Àlvarez Montaner
Proceedings EACA-2000 ,
Ed: A. Montes, Publicaciones UPC, (2000), 91-102 .
Preprints
- Bernstein-Sato polynomials and related invariants for meromorphic functions
J. Àlvarez Montaner, M. González Villa, E. León-Cardenal, L.Núñez-Betancourt
Submitted. Preprint version: PDF - Lyubeznik tables of S_r and CM_r rings
J. Àlvarez Montaner, S. Yassemi
Submitted. Preprint version: PDF
- Characterization of multiplier ideals
in a rational surface singularity
M. Alberich-Carramiñana, J. Àlvarez Montaner, V. González-Alonso
In preparation.
Lecture Notes
- Three Lectures on Local Cohomology Modules Supported on Monomial Ideals PDF
J. Àlvarez Montaner (Tutorial joint with O.Fernández-Ramos)
These notes are an extended version of a set of lectures given at "MONICA: MONomial Ideals, Computations and Applications", at the CIEM, Castro Urdiales (Cantabria, Spain) in July 2011. They are now published in:
Monomial Ideals, Computations and Applications
Eds.: A. Bigatti, Ph. Gimenez, E. Sáenz-de-Cabezón.
Lecture Notes in Mathematics 2083 .
Ph. D. Thesis
- Local Cohomology Modules Supported on Monomial Ideals (2002) PDF
Advisor: Santiago Zarzuela (Universitat de Barcelona)
Ph. D. Students
- Alberto F. Boix (Universitat de Barcelona)
Contributions to the study of Cartier algebras and local cohomology modules (November 2014)
Co-advisor: Santiago Zarzuela
- Ferran Dachs-Cadefau (UPC and KU Leuven)
Multiplier ideals in two-dimensional local rings with rational singularities (June 2016)
Co-advisors: Maria Alberich-Carramiñana and Wim Veys
- Guillem Blanco (Universitat Politècnica de Catalunya)
Bernstein-Sato polynomial of plane curves and Yano's conjecture
(April 2020)
Co-advisor: Maria Alberich-Carramiñana
M. Sc. Students
- Ferran Dachs-Cadefau (2012).
Co-advisor: Maria Alberich-Carramiñana
- Guillem Blanco (2015).
Co-advisor: Maria Alberich-Carramiñana
- Beatriz Barbero (2022)
- Oriol Navarro (2022)
- Guillem Quingles (2022)
- Roger Gómez López (2023).
Co-advisor: Maria Alberich-Carramiñana