Matej Filip

activity

20132026

most citedSmoothing toroidal crossing spaces

34 citations · 46 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.AG2026

Minkowski decompositions and universal equivariant deformations of toric pairs

Matej Filip

Let $X_{σ}$ be the affine normal toric variety associated with a full-dimensional strongly convex rational polyhedral cone $σ$ , and let $m$ be a primitive degree with slice $P_m=σ\ca…

math.AG2026

Unobstructedness of affine Gorenstein terminal toric fourfolds

Matej Filip, Aljaž Zalar

We prove that every affine terminal Gorenstein toric variety of dimension at most four is unobstructed. In dimension four, the obstruction space need not vanish; instead, we determ…