Josep Àlvarez Montaner (Research)
Fields of interest
My research interest is centered in Commutative Algebra, Homological
Algebra and Algebraic Geometry with a special regard to their
computational aspects. My past and current research highlights my
interest on the study of local cohomology modules by using the theory
of D-modules.
Preprints
- Bass numbers of local cohomology of monomial ideals
Josep Àlvarez Montaner, Alireza Vahidi
In preparation.
- Cartier algebras of Stanley-Reisner rings
Josep Àlvarez Montaner, Alberto Fernández, Santiago Zarzuela
In preparation.
Publications
- Localizations at hyperplane arrangements: combinatorics and
D-modules
Josep Àlvarez Montaner, Francisco Jesús Castro
Jiménez, José María Ucha Enríquez
Journal
of Algebra ,
316, (2007), 662-679 .
This is the preprint version:
PostScript
(429 Kb),
PDF
(192 Kb).
(Source codes and outputs of the examples may be found here)
- Computing the support of local cohomology modules
Josep Àlvarez Montaner, Anton Leykin
Journal
of Symbolic Computation ,
41, (2006), 1328-1344 .
This is the preprint version:
PostScript
(520 Kb), PDF
(297 Kb).
(Source codes and outputs of the examples may be found here )
- Generators of D-modules in positive characteristic
Josep Àlvarez Montaner, Manuel Blickle, Gennady Lyubeznik
Mathematical Research
Letters ,
12, (2005), 459-473 .
This is the preprint version:
PostScript
(541 Kb), PDF
(238 Kb).
- Operations with regular holonomic D-modules with support a
normal crossing
Josep Àlvarez Montaner
Journal
of Symbolic Computation ,
40, (2005), 999-1012 .
This is the preprint version:
PostScript
(510 Kb), PDF
(239 Kb).
- Characteristic cycles of local cohomology of monomial ideals
II
Josep Àlvarez Montaner
Journal
of Pure and Applied Algebra ,
192, (2004), 1-20 .
This is the preprint version:
PostScript
(597 Kb), PDF
(270 Kb).
- Some numerical invariants of local rings
Josep Àlvarez Montaner
Proceedings of the American
Mathematical Society , 132,
(2004), 861-865 .
This is the preprint version:
PostScript
(371 Kb), PDF
(187 Kb).
- Linearization of local cohomology modules
Josep Àlvarez Montaner, Santiago Zarzuela
Contemporary
Mathematics ,
331,(2003), 1-11 .
This is the preprint version:
PostScript
(542 Kb), PDF(253
Kb).
- Local cohomology modules, subspace arrangements and monomial
ideals
Josep Àlvarez Montaner, Ricardo García López,
Santiago Zarzuela
Advances
in Mathematics ,
174,(2003), 35-53 .
This is the preprint version:
PostScript
(582 Kb), PDF
(266 Kb).
- Characteristic cycles of local cohomology of monomial ideals
Josep Àlvarez Montaner
Journal
of Pure and Applied Algebra,
150, (2000), 1-25 .
This is the preprint version:
PostScript
(650 Kb), PDF
(266 Kb).
Ph. D. Thesis
- Local Cohomology Modules Supported on Monomial Ideals (2002)
Advisor: Santiago Zarzuela (Universitat de Barcelona),
PostScript
(1799 Kb), PDF
(1061 Kb).
Mixed bag (lecture notes, proceedings,...)
- A surprising fact about D-modules in positive characteristic
Josep Àlvarez Montaner, Gennady Lyubeznik
PostScript
(378 Kb),
PDF (190
Kb).
(The results of this paper are generalized in our joint paper with M.
Blickle)
http://www-ma1.upc.es/~jalvz/research.html
Last modified: September 1, 2010