210 citations · 311 across the 18 of their papers we have counts for
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Poisson K-stability and the semiclassical Yau--Tian--Donaldson correspondence
Vestislav Apostolov, Brent Pym, Jeffrey Streets
We introduce a notion of K-polystability for compact Kähler holomorphic Poisson manifolds. On the one hand, this notion of stability is well-adapted to constructions of moduli spac…
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…
Weighted blowups and 3d Poisson desingularizations
Simon Lapointe, Mykola Matviichuk, Brent Pym +1
We establish existence of functorial orbifold reductions of singularities for Poisson subvarieties in smooth Poisson threefolds. Namely, we show that with enough weighted blowups,…