3 citations · 8 across the 7 of their papers we have counts for
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Isotropic Kempf--Laksov flag bundles
Lionel Darondeau
We introduce analogs of the Kempf--Laksov desingularizations of Schubert bundles in (non-necessary Lagrangian) symplectic Grassmann bundles. In this setting, these are (possibly si…
On the existence of logarithmic and orbifold jet differentials
Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly +1
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebraic or analytic variety (X, V), and a ramification divisor D, where V is a cohere…
Quasi-positive orbifold cotangent bundles ; Pushing further an example by Junjiro Noguchi
Lionel Darondeau, Erwan Rousseau
In this work, we investigate the positivity of logarithmic and orbifold cotangent bundles along hyperplane arrangements in projective spaces. We show that a very interesting exampl…
Orbifold hyperbolicity
Frédéric Campana, Lionel Darondeau, Erwan Rousseau
We define and study jet bundles in the geometric orbifold category. We show that the usual arguments from the compact and the logarithmic settings do not all extend to this more ge…
Flag bundles, Segre polynomials and push-forwards
Lionel Darondeau, Piotr Pragacz
In this note, we give Gysin formulas for partial flag bundles for the classical groups. We then give Gysin formulas for Schubert varieties in Grassmann bundles, including isotropic…
Gysin maps, duality and Schubert classes
Lionel Darondeau, Piotr Pragacz
We establish a Gysin formula for Schubert bundles and a strong version of the duality theorem in Schubert calculus on Grassmann bundles. We then combine them to compute the fundame…
Complete intersection varieties with ample cotangent bundles
Damian Brotbek, Lionel Darondeau
Any smooth projective variety contains many complete intersection subvarieties with ample cotangent bundles, of each dimension up to half its own dimension.
Universal Gysin formulas for flag bundles
Lionel Darondeau, Piotr Pragacz
We give push-forward formulas for all flag bundles of types A, B, C, D. The formulas (and also the proofs) involve only Segre classes of the original vector bundles and characteris…
Effective algebraic degeneracy of entire curves in complements of smooth projective hypersurfaces
Lionel Darondeau
In this work, it is established that for a generic projective hypersurface of degree , any holomorphic entire curve $f\colon\…