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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Showing 2008Show all

3 papers · 1 filter

math.AG2008★ 47 cited

Effective algebraic degeneracy

Simone Diverio, Joel Merker, Erwan Rousseau

We prove that any nonconstant entire holomorphic curve from the complex line C into a projective algebraic hypersurface X = X^n in P^{n+1}(C) of arbitrary dimension n (at least 2)…

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…

math.AG2008

Existence of global invariant jet differentials on projective hypersurfaces of high degree

Simone Diverio

Let $X \subset P^{n + 1}$ be a smooth complex projective hypersurface. In this paper we show that, if the degree of $X$ is large enough, then there exist global sections of the…