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math.DG2022
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…
math.AG2022★ 1 cited
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…