Josep Àlvarez Montaner

Publications

1. Multiplier ideals of meromorphic functions
   M. Alberich-Carramiñana, J. Àlvarez Montaner, R. Gómez-López
   Contemporary Mathematics (2025)
   Proceedings of the Conference on Algebraic and Topological Interplay of Algebraic Varieties
   Preprint version: PDF
2. Bernstein-Sato polynomials and related invariants for meromorphic functions
   J. Àlvarez Montaner, M. González Villa, E. León-Cardenal, L.Núñez-Betancourt
   Transactions of the American Mathematical Society 378 (2025), 4929-4954
   Preprint version: PDF
3. Lyubeznik tables of S_r and CM_r rings
   J. Àlvarez Montaner, S. Yassemi
   Journal of Commutative Algebra (2024) Issue 4, Pages 379-389
   Preprint version: PDF
   
4. 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 (2024) Issue 20, Pages 13127-13179
   Preprint version: PDF
   
5. 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
6. 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
   
7. 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
   
8. 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
9. Divisors of expected Jacobian type
   J. Àlvarez Montaner, F. Planas-Vilanova
   Mathematica Scandinavica 127, No. 2 (2021) 161-184
   Preprint version: PDF
   
10. 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
    
11. 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
    
12. 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
    
13. Local cohomology of binomial edge ideals and their generic initial ideals.
    J. Àlvarez Montaner
    Collectanea Mathematica 71, (2020), 331-348
    Preprint version: PDF
    
14. 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
    
15. 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
    
16. Generating functions of Frobenius algebras.
    J. Àlvarez Montaner
    Linear Algebra and its Applications , 582, (2019), 310-326
    Preprint version: PDF
    
17. Koszul complex over skew polynomial rings.
    J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
    Communications in Algebra , 47, (2019), 2904-2919
    Preprint version: PDF
    
18. 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
    
19. 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
20. 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
    
21. 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
    
22. 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
    
23. 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 )
24. Lyubeznik table of sequentially Cohen-Macaulay rings
    J. Àlvarez Montaner
    Communications in Algebra , 43, (2015), 3695-3704 .
    Preprint version: PDF
    
25. Lyubeznik numbers of monomial ideals
    J. Àlvarez Montaner, A. Vahidi
    Transactions of the American Mathematical Society , 366, (2014), 1829-1855 .
    Preprint version: PDF
    
26. 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
    
27. Local cohomology using Macaulay2
    J. Àlvarez Montaner, O.Fernández-Ramos
    Lecture Notes in Mathematics , 2083, (2013), 179-185 .
    ( Source codes may be found here )
28. Local cohomology modules supported on monomial ideals
    J. Àlvarez Montaner
    Lecture Notes in Mathematics , 2083, (2013), 109-178 .
    
29. 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
    
30. 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 )
    
31. 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 )
    
32. Generators of D-modules in positive characteristic
    J. Àlvarez Montaner, M. Blickle, G. Lyubeznik
    Mathematical Research Letters , 12, (2005), 459-473 .
    Preprint version: PDF
33. 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
34. 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
35. Some numerical invariants of local rings
    J. Àlvarez Montaner
    Proceedings of the American Mathematical Society , 132, (2004), 861-865 .
    Preprint version: PDF
36. Linearization of local cohomology modules
    J. Àlvarez Montaner, S. Zarzuela
    Contemporary Mathematics , 331,(2003), 1-11 .
    Preprint version: PDF
37. 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
38. 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 .