Josep Àlvarez Montaner

Universitat Politècnica de Catalunya

Publications

  1. Divisors of expected Jacobian type
    J. Àlvarez Montaner, F. Planas-Vilanova
    Mathematica Scandinavica (2020)
    Preprint version: PDF
  2. Bass numbers of local cohomology modules of cover ideals of graphs.
    J. Àlvarez Montaner, F. Sohrabi
    Journal of Algebraic Combinatorics (2020)
    Preprint version: PDF
  3. Monomial generators of complete planar ideals.
    M. Alberich-Carramiñana, J. Àlvarez Montaner, G. Blanco
    Journal of Algebra and its Applications (2020)
    Preprint version: PDF
  4. 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
  5. Local cohomology of binomial edge ideals and their generic initial ideals.
    J. Àlvarez Montaner
    Collectanea Mathematica 71, (2020), 331-348
    Preprint version: PDF
  6. 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
  7. 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
  8. Generating functions of Frobenius algebras.
    J. Àlvarez Montaner
    Linear Algebra and its Applications , 582, (2019), 310-326
    Preprint version: PDF
  9. Koszul complex over skew polynomial rings.
    J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
    Communications in Algebra , 47, (2019), 2904-2919
    Preprint version: PDF
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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 )
  16. Lyubeznik table of sequentially Cohen-Macaulay rings
    J. Àlvarez Montaner
    Communications in Algebra , 43, (2015), 3695-3704 .
    Preprint version: PDF
  17. Lyubeznik numbers of monomial ideals
    J. Àlvarez Montaner, A. Vahidi
    Transactions of the American Mathematical Society , 366, (2014), 1829-1855 .
    Preprint version: PDF
  18. 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
  19. Local cohomology using Macaulay2
    J. Àlvarez Montaner, O.Fernández-Ramos
    Lecture Notes in Mathematics , 2083, (2013), 179-185 .
    ( Source codes may be found here )
  20. Local cohomology modules supported on monomial ideals
    J. Àlvarez Montaner
    Lecture Notes in Mathematics , 2083, (2013), 109-178 .
  21. 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
  22. 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 )
  23. 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 )
  24. Generators of D-modules in positive characteristic
    J. Àlvarez Montaner, M. Blickle, G. Lyubeznik
    Mathematical Research Letters , 12, (2005), 459-473 .
    Preprint version: PDF
  25. 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
  26. 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
  27. Some numerical invariants of local rings
    J. Àlvarez Montaner
    Proceedings of the American Mathematical Society , 132, (2004), 861-865 .
    Preprint version: PDF
  28. Linearization of local cohomology modules
    J. Àlvarez Montaner, S. Zarzuela
    Contemporary Mathematics , 331,(2003), 1-11 .
    Preprint version: PDF
  29. 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
  30. 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

Preprints

    1. 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
      Submitted
      Preprint version: PDF
    2. Poincaré series of multiplier and test ideals
      J. Àlvarez Montaner, L.Núñez-Betancourt
      Preprint
    3. Bernstein's inequality and holonomicity for certain singular rings
      J. Àlvarez Montaner, D. Hernández, J. Jeffries, L.Núñez-Betancourt, P. Teixeira, E. Witt
      Preprint
    4. Bernstein-Sato polynomials in commutative algebra
      J. Àlvarez Montaner, J. Jeffries, L.Núñez-Betancourt
      Preprint
    5. When is a complete ideal in a rational surface singularity a multiplier ideal?
      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

M. Sc. Students