5 papers
Foliations with small singular set in arbitrary characteristic
Thiago Fassarella, Wodson Mendson, João Pedro dos Santos +1
This paper investigates the geometry of foliations on smooth algebraic varieties over an algebraically closed field of arbitrary characteristic . We address several specif…
Bondal's conjecture in dimension five
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
Bondal's conjecture in Poisson geometry gives lower bounds on the degeneracy loci of Poisson Fano manifolds, where the rank of the Poisson structure drops. By work of several autho…
Irregularities of special C-pairs
Stefan Kebekus, Erwan Rousseau, Frédéric Touzet
This paper studies irregularity-type invariants of special C-pairs, or "geometric orbifolds" in the sense of Campana. Under mild assumptions on the singularities, we show that the…
Structure of Kähler foliations with negative transverse Ricci curvature
Benoît Claudon, Frédéric Touzet
We investigate the structure of transversely Kähler foliations with quasi-negative tranverse Ricci curvature. In particular, we prove a de Rham type theorem decomposition on the l…
Numerically flat foliations and holomorphic Poisson geometry
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We investigate the structure of smooth holomorphic foliations with numerically flat tangent bundles on compact Kähler manifolds. Extending earlier results on non-uniruled projecti…