3 citations · 7 across the 8 of their papers we have counts for
8 papers
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,…
Deformations of T-log-symplectic log-canonical Poisson structures and symmetric Poisson CGL extensions
Jiang-Hua Lu, Mykola Matviichuk
For a complex algebraic torus , we study -invariant Poisson deformations of a -log-symplectic log-canonical Poisson structure on $\mathbb{…
Creating quantum projective spaces by deforming q-symmetric algebras
Mykola Matviichuk, Brent Pym, Travis Schedler
We construct a large collection of "quantum projective spaces", in the form of Koszul, Calabi-Yau algebras with the Hilbert series of a polynomial ring. We do so by starting with t…
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…