12 citations · 28 across the 11 of their papers we have counts for
14 papers
Fibrations by Lagrangian tori for maximal Calabi-Yau degenerations and beyond
Javier Fernández de Bobadilla, Tomasz Pełka
We introduce a general technique to construct Lagrangian torus fibrations in degenerations of Kähler manifolds. We show that such torus fibrations naturally occur at the boundary o…
Hodge modules and cobordism classes
Javier Fernández de Bobadilla, Irma Pallarés, Morihiko Saito
We show that the cobordism class of a polarization of Hodge module defines a natural transformation from the Grothendieck group of Hodge modules to the cobordism group of self-dual…
The Brasselet-Schürmann-Yokura conjecture on -classes of singular varieties
J. Fernández de Bobadilla, I. Pallarés
In 2010, Brasselet, Schürmann and Yokura conjectured an equality of characteristic classes of singular varieties between the Goresky-MacPherson -class and the Hirzebruc…
Cohomology of contact loci
Nero Budur, Javier Fernández de Bobadilla, Quy Thuong Lê +1
We construct a spectral sequence converging to the cohomology with compact support of the m-th contact locus of a complex polynomial. The first page is explicitly described in term…
Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group
Norbert A'Campo, Javier Fernandez de Bobadilla, Maria Pe Pereira +1
We study monodromies of plane curve singularities and pseudo-periodic homeomorphisms of oriented surfaces with boundary, following an original idea of the first author: tête-à-tête…
On the generalized Nash problem for smooth germs and adjacencies of curve singularities
Javier Fernandez de Bobadilla, Maria Pe Pereira, Patrick Popescu-Pampu
In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of…
Equisingularity in one parameter families of generically reduced curves
Javier Fernández de Bobadilla, Jawad Snoussi, Mark Spivakovsky
We explore some equisingularity criteria in one parameter families of generically reduced curves. We prove the equivalence between Whitney regularity and Zariski's discriminant cri…
The Hilali Conjecture for hyperelliptic spaces
Javier Fernandez de Bobadilla, Javier Fresan, Vicente Muñoz +1
The Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give…
Homotopically trivial deformations
Javier Fernandez de Bobadilla, János Kollár
We study deformations of complex projective varieties that are homotopically or homologically trivial. We formulate several conjectures and give some examples and partial answers.
Curve selection lemma in infinite dimensional algebraic geometry and arc spaces
Javier Fernandez de Bobadilla, Maria Pe Pereira
We prove a Curve Selection Lemma valid in infinite-dimensional algebraic geometry and apply it, together with a structure theorem of Grinberg-Kahzdan and Drinfeld, to obtain a Curv…
The boundary of the Milnor fibre of complex and real analytic non-isolated singularities
Javier Fernandez de Bobadilla, Aurelio Menegon Neto
Let f and g be holomorphic function-germs vanishing at the origin of a complex analytic germ of dimension three. Suppose that they have no common irreducible component and that the…
On algebraic representatives of homeomorphism types of analytic hypersurface germs
Javier Fernandez de Bobadilla
A question of B. Teissier, inspired by a previous problem of R. Thom, asks whether for any germ of complex analytic hypersurface there exists a germ of complex algebraic hypersurfa…
Topology of hypersurface singularities with 3-dimensional critical set
Javier Fernandez de Bobadilla, Miguel Angel Marco-Buzunariz
In this paper, we prove that the Milnor fibre of a singularity over an i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that define…
On homotopy types of complements of analytic sets and Milnor fibres
Javier Fernandez de Bobadilla
We prove that for any germ of complex analytic set in $\CC^n$ there exists a hypersurface singularity whose Milnor fibration has trivial geometric monodromy and fibre homotopic to…