4 papers
On surjectivity of word maps on
Urban Jezernik, Jonatan Sánchez
Let be a non-trivial double commutator word. We show that is surjective on , where is an algebraically closed field of cha…
A non Ricci-flat Einstein pseudo-Riemannian metric on a 7-dimensional nilmanifold
Marisa Fernández, Marco Freibert, Jonatan Sánchez
We answer in the affirmative the question posed by Conti and Rossi on the existence of nilpotent Lie algebras of dimension 7 with an Einstein pseudo-metric of nonzero scalar curvat…
Irrationality of generic quotient varieties via Bogomolov multipliers
Urban Jezernik, Jonatan Sánchez
The Bogomolov multiplier of a group is the unramified Brauer group associated to the quotient variety of a faithful representation of the group. This object is an obstruction for t…
On SO(3)-bundles over the Wolf spaces
Marisa Fernández, Jonatan Sánchez, Vicente Muñoz
We study the formality of the total space of principal SU(2) and SO(3)-bundles over a Wolf space, that is a symmetric positive quaternionic Kähker manifold. We apply this to conclu…