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Pruned cellular free resolutions of monomial ideals
(2020-01-01)
Article
Restricted access - publisher's policyUsing discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary monomial ideal. The pruned resolution is not ... -
Generating functions associated to Frobenius algebras
(Elsevier, 2019-12-01)
Article
Restricted access - publisher's policyWe introduce a generating function associated to the homogeneous gen-erators of a graded algebra that measures how far is this algebra from being finitelygenerated. For the case of some algebras of Frobenius endomorphisms ... -
Linear systems on irregular varieties
(2019-01-01)
Article
Open Access -
Sufficient and necessary conditions for solution finding in valuation-based systems
(2019-11-01)
Article
Open AccessValuation algebras abstract a large number of formalisms for automated reasoning and enable the definition of generic inference procedures. Many of these formalisms provide some notion of solution. Typical examples are ... -
The Peebles–Vilenkin quintessential inflation model revisited
(springer-Verlag, 2019-06-01)
Article
Open AccessWe review the well-known Peebles–Vilenkin (PV) quintessential inflation model and discuss its possible improvements in agreement with the recent observations. The improved PV model depends only on two parameters: the ... -
Multiplicities of jumping points for mixed multiplier ideals
(Springer, 2019-01-01)
Article
Restricted access - publisher's policyIn this paper we make a systematic study of the multiplicity of the jumping points associated to the mixed multiplier ideals of a family of ideals in a complex surface with rational singularities. In particular we study ... -
Xiao's conjecture for general fibred surfaces
(2018-06-01)
Article
Open AccessWe prove that the genus g, the relative irregularity qf and the Clifford index cf of a non-isotrivial fibration f satisfy the inequality qf=g-cf. This gives in particular a proof of Xiao’s conjecture for fibrations whose ... -
Poles of the complex zeta function of a plane curve
(2019-07-09)
Article
Open Access -
A Koszul complex over skew polynomial rings
(2019-01-01)
Article
Restricted access - publisher's policyWe construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence -
Coupling symmetries with Poisson structures
(Springer, 2013)
Article
Restricted access - publisher's policyWe study local normal forms for completely integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions of compact Lie groups. The existence of ... -
The clay public lecture and conference on the Poincaré Conjecture, Paris, 7-9 June 2010
(2010-09)
Article
Open Access -
On the volume elements of a manifold with transverse zeroes
(Springer, 2019)
Article
Open AccessMoser proved in 1965 in his seminal paper [15] that two volume forms on a compact manifold can be conjugated by a diffeomorphism, that is to say they are equivalent, if and only if their associated cohomology classes in ...
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