7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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12 papers · 2 filters
Deformation Openness of Big Fundamental Groups and Applications
Ya Deng, Chikako Mese, Botong Wang
In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…
Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds
Clara Derand
We obtain a Second Main Theorem type inequality for holomorphic maps , where is a parabolic manifold and is smooth projective with dim dim . We al…
On Symmetric and Anti-symmetric Partial Differential Operators
Daniel Barlet
We study the action of symmetric PDO on the module of anti-symmetric functions in . We show that over the Weyl algebra of the elementary symmetric functions, this…
The Weakly Special Conjecture contradicts orbifold Mordell, and hence the abc conjecture
Finn Bartsch, Frédéric Campana, Ariyan Javanpeykar +1
Starting from an Enriques surface over considered by Lafon, we give the first examples of smooth projective weakly special threefolds which fibre over the projectiv…
Equivariant rigidity of Richardson varieties
Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin
We prove that Schubert and Richardson varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schube…
Vector bundles on blown-up Hopf surfaces
Matei Toma
We show that certain moduli spaces of vector bundles over blown-up primary Hopf surfaces admit no compact components. These are the moduli spaces used by Andrei Teleman in his work…
Uniformization of varieties with log-canonical singularities
Benoit Cadorel
We study the problem of uniformizing quasi-projective varieties with logcanonical compactifications. More precisely, given a complex projective variety X with log-canonical singula…
Moduli spaces of slope-semistable sheaves with reflexive Seshadri graduations
Mihai Pavel, Matei Toma
We study the moduli stacks of slope-semistable torsion-free coherent sheaves that admit reflexive, respectively locally free, Seshadri graduations on a smooth projective variety. W…
Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials
Benoit Cadorel
We give a new version of a recent result of B{é}rczi-Kirwan, proving the Kobayashi and Green-Griffiths-Lang conjectures for generic hypersurfaces in the projective space , with a p…
Hyperbolicity of smooth logarithmic and orbifold pairs in
Clara Dérand
We derive a necessary and sufficient condition on a hyperplane arrangement in for the associated logarithmic cotangent bundle to be ample modulo boundary. We extend…
Some comments on my study of period-integrals
Daniel Barlet
This text is a presentation (without proofs) of some of my recent results on the singular terms of asymptotic expansions of period-integrals using (a,b)-modules. I try to explain w…
Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications
Ya Deng, Katsutoshi Yamanoi
Given a complex quasi-projective normal variety and a linear representation with any field of positive characteristic, we mainly establi…