2 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
The cotangent bundle of K3 surfaces of degree two
Fabrizio Anella, Andreas Höring
K3 surfaces have been studied from many points of view, but the positivity of the cotangent bundle is not well understood. In this paper we explore the surprisingly rich geometry o…
Characteristic foliations -- a survey
Fabrizio Anella, Daniel Huybrechts
This is a survey article, with essentially complete proofs, of a series of recent results concerning the geometry of the characteristic foliation on smooth divisors in compact hype…
Twisted cotangent bundles of Hyperkähler manifolds
Fabrizio Anella, Andreas Höring
Let be a Hyperkähler manifold, and let be an ample divisor on . We give a lower bound in terms of the Beauville-Bogomolov form for the twisted cotangent bundle $Ω…
Rational curves on genus one fibrations
Fabrizio Anella
In this paper we look for necessary and sufficient conditions for a genus one fibration to have rational curves. We show that a projective variety with log terminal singularities t…
Rational curves on fibered varieties
Fabrizio Anella
Let be a projective variety with log terminal singularities and vanishing augmented irregularity. In this paper we prove that if admits a relatively minimal genus one fibra…