Universitat Politècnica de Catalunya
		
	
	
	
	
	
		
			Publications
 
 
  -   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
 
-     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
 
-     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
 
 
-     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
 
 
-     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
  
		 
		
			Preprints
			 
 
  
  
 
  -   Limit distribution of Hodge spectral exponents of plane curve singularities
      
 M. Alberich-Carramiñana, J. Àlvarez Montaner, R. Gómez-López
 Submitted.
Preprint version:   PDF
 
  -   Morse resolutions of monomial ideals and Betti splittings
      
 J. Àlvarez Montaner,  M. L. Aparicio García, A. Mafi
 Submitted.
Preprint version:   PDF
 
  -   Splitting vertices and Lyubeznik numbers of graphs
      
 J. Àlvarez Montaner,  J. Jofre
 Preprint version:   PDF
 
  -   Cops and robbers games for  Lyubeznik numbers of graphs
      
 J. Àlvarez Montaner,  J. Jofre
 Preprint version:   PDF
 
 -   Associated primes of  local cohomology modules of some non-regular rings
      
 J. Àlvarez Montaner, A. F. Boix, S. Zarzuela
 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
 
 
  
 
  - 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  
 
 
  - Pedro López Sancha  (2024) 
 
 
  - Marc Torrecillas Castelló (2025).
Co-advisor: Guillem Blanco