3 citations · 7 across the 8 of their papers we have counts for
5 papers · 1 filter
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,…
Elliptic log symplectic brackets on projective bundles
Mykola Matviichuk
Let be the product of a complex projective space and a polydisc. We study Poisson brackets on that are log symplectic, that is, generically symplectic and…
Holonomic Poisson geometry of Hilbert schemes
Mykola Matviichuk, Brent Pym, Travis Schedler
We undertake a detailed study of the geometry of Bottacin's Poisson structures on Hilbert schemes of points in Poisson surfaces, i.e. smooth complex surfaces equipped with an effec…
Elliptic zastava
Michael Finkelberg, Mykola Matviichuk, Alexander Polishchuk
We study the elliptic zastava spaces, their versions (twisted, Coulomb, Mirkovic local spaces, reduced) and relations with monowalls moduli spaces and Feigin-Odesskii moduli spaces…
A local Torelli theorem for log symplectic manifolds
Mykola Matviichuk, Brent Pym, Travis Schedler
We establish a local model for the moduli space of holomorphic symplectic structures with logarithmic poles, near the locus of structures whose polar divisor is normal crossings. I…