3 papers
math.SG2026
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…
math.AG2026
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,…
math.QA2024
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…