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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 ... -
Bouncing cosmologies via modified gravity in the ADM formalism: Application to loop quantum cosmology
(American Physical Society (APS), 2018-03-15)
Article
Open AccessWe consider the Arnowitt-Deser-Misner formalism as a tool to build bouncing cosmologies. In this approach, the foliation of the spacetime has to be fixed in order to go beyond general relativity modifying the gravitational ... -
Decomposition spaces and restriction species
(Oxford University Press, 2018-09-12)
Article
Restricted access - publisher's policyWe show that Schmitt’s restriction species (such as graphs, matroids, posets, etc.) naturally induce decomposition spaces (a.k.a. unital 2-Segal spaces), and that their associated coalgebras are an instance of the general ... -
Qualitative study in loop quantum cosmology
(2017-12-07)
Article
Restricted access - publisher's policyThis work contains a detailed qualitative analysis, in general relativity and in loop quantum cosmology, of the dynamics in the associated phase space of a scalar field minimally coupled with gravity, whose potential mimics ... -
Convexity for Hamiltonian torus actions on b-symplectic manifolds
(2017)
Article
Open Accessn [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ... -
The eventual paracanonical map of a variety of maximal Albanese dimension
(2019)
Article
Open AccessLet Xbe a smooth complex projective variety such that the Albanese map of Xis generically ¿nite onto its image. Here we study the so-called eventual m-paracanonical map of X, whose existence is implied by the results of ... -
Remarks on multisymplectic reduction
(2018-06-01)
Article
Restricted access - publisher's policyThe problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries. -
Multiplicity and Poincaré series for mixed multiplier ideals
(2018-09)
Article
Open Access -
Poicaré series for mixed multiplier ideals
(2018)
Article
Open AccessWe present a generalization of the Poincaré series to the case of mixed multiplier ideals. For that, we will recall some results about how we can compute the jumping walls associated to a mixed multiplier ideal and introduce ...
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