3 citations · 5 across the 6 of their papers we have counts for
6 papers
Weddle loci of linear systems of quadrics and the rank of partially symmetric tensors
Luca Chiantini, Filippo Fagioli
We establish a connection between properties of partially symmetric tensors (i.e. tensors associated to linear systems of quadric hypersurfaces) and the geometry of some related lo…
Some criteria for positive forms and applications
Filippo Fagioli, Asia Mainenti
The aim of this paper is to gain a better understanding of weak and strong positivity for exterior forms on complex vector spaces. We prove a dimensionality reduction argument for…
Universal vector bundles, push-forward formulae and positivity of characteristic forms
Filippo Fagioli
Given a Hermitian holomorphic vector bundle over a complex manifold, consider its flag bundles with the associated universal vector bundles endowed with the induced metrics. We pro…
A survey on rational curves on complex surfaces
Giuseppe Barbaro, Filippo Fagioli, Ángel David Ríos Ortiz
In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the Kähler and non-Kähler setup. We systematically go through the Enriques--K…
A note on Griffiths' conjecture about the positivity of Chern-Weil forms
Filippo Fagioli
Let be a Griffiths semipositive Hermitian holomorphic vector bundle of rank over a complex manifold. In this paper, we prove the positivity of the characteristic di…
Pointwise Universal Gysin formulae and Applications towards Griffiths' conjecture
Simone Diverio, Filippo Fagioli
Let be a complex manifold, be a rank holomorphic hermitian vector bundle, and be a sequence of dimensions . Let …