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20042026
most citedDeformation of Rational Curves Along Foliations

2 citations · 6 across the 15 of their papers we have counts for

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16 papers · 1 filter

math.AG2026

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…

math.AG2026

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…

math.AG2026

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…

math.AG2024

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 projectiv…

math.AG2021

Numerically nonspecial varieties

Jorge Vitorio Pereira, Erwan Rousseau, Frédéric Touzet

Campana introduced the class of special varieties as the varieties admitting no Bogomolov sheaves i.e. rank one coherent subsheaves of maximal Kodaira dimension in some exterior po…

math.AG2021★ 2 cited

A global Weinstein splitting theorem for holomorphic Poisson manifolds

Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1

We prove that if a compact Kähler Poisson manifold has a symplectic leaf with finite fundamental group, then after passing to a finite étale cover, it decomposes as the product of…