12 citations · 28 across the 11 of their papers we have counts for
3 papers · 1 filter
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…