Simone Diverio

activity

20072026

most citedEffective algebraic degeneracy

47 citations · 126 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.DG2020★ 3 cited

Kobayashi hyperbolicity, negativity of the curvature and positivity of the canonical bundle

Simone Diverio

This survey article mainly addresses to graduate students and young researchers in complex geometry willing to enter the beautiful word of connections between curvature and Kobayas…

math.DG2020★ 1 cited

Pointwise Universal Gysin formulae and Applications towards Griffiths' conjecture

Simone Diverio, Filippo Fagioli

Let $X$ be a complex manifold, $(E, h) \to X$ be a rank $r$ holomorphic hermitian vector bundle, and $ρ$ be a sequence of dimensions $0 = ρ_{0} < ρ_{1} < \dots < ρ_{m} = r$ . Let $Q_{ρ, j}$ …

math.DG2016

Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle

Simone Diverio, Stefano Trapani

We show that if a compact complex manifold admits a Kähler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then…

math.DG2008

Smooth metrics on jet bundles and applications

Simone Diverio

Following a suggestion made by J.-P. Demailly, for each $k \geq 1$ , we endow, by an induction process, the $k$ -th (anti)tautological line bundle $O_{X_{k}} (1)$ of an arbitrary…