3 citations · 5 across the 6 of their papers we have counts for
4 papers · 1 filter
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 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 …