Matej Filip

collaborators

3 papers

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…

math.AG2025

Laurent polynomials and deformations of non-isolated Gorenstein toric sigularities

Matej Filip

We establish a correspondence between one-parameter deformations of an affine Gorenstein toric pair $(X_{P}, \partial X_{P})$ , defined by a polytope $P$ , and mutations of a Laurent pol…

math.AG2025

Deformations of an affine Gorenstein toric pair

Matej Filip

We consider deformations of a pair $(X, \partial X)$ , where $X$ is an affine toric Gorenstein variety and $\partial X$ is its boundary. We compute the tangent and obstruction space…