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- Université de LorraineFR874 papers
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4 papers · 2 filters
Generic positivity and applications to hyperbolicity of moduli spaces
Benoît Claudon, Stefan Kebekus, Behrouz Taji
The proof of the celebrated Viehweg's hyperbolicity conjecture is a consequence of two remarkable results: Viehweg and Zuo's existence results for global pluri-differential forms i…
Orbifold slope-rational connectedness
Frederic Campana
We define, for smooth projective orbifold pairs notions of `slope Rational connectedness', and of orbifold `slope Rational quotient' . These notions extend to this larger c…
A Master Space for Moduli Spaces of Gieseker-Stable Sheaves
Daniel Greb, Julius Ross, Matei Toma
We consider a notion of stability for sheaves, which we call multi-Gieseker stability that depends on several ample polarisations and on an additional parameter $…
Semi-positivity of logarithmic cotangent bundle and Shafarevich-Viehweg's conjecture, after Campana, Paun, Taji...
Benoît Claudon
Proven by A. Parshin and S. Arakelov in the early 70's, Shafaverich hyperbolicity conjecture states that a family of curves of genus parametrized by a non hyperbolic curve…