44 citations · 304 across the 35 of their papers we have counts for
43 papers
Landau-Ginzburg models for Fano threefolds of Picard rank one and exceptional collections
Victor Przyjalkowski
We study fibers with isolated singularities of Landau-Ginzburg models for Fano threefolds of Picard rank one. We compare the data we get with maximal known lengths of exceptional c…
Singularities of Landau-Ginzburg models for complete intersections and derived categories
Victor Przyjalkowski
Mirror symmetry predicts that bounded derived category of a smooth Fano variety is equivalent to Fukaya-Seidel category of its Landau-Ginzburg model. It is expected that fibers of…
Fibers of Landau-Ginzburg models and rationality
Sukjoo Lee, Victor Przyjalkowski
In this article, we study how the rationality of a Fano threefold is reflected in its standard mirror Landau-Ginzburg model and its deformations. The main result is that a Fano thr…
Modularity of Landau-Ginzburg models
Charles Doran, Andrew Harder, Ludmil Katzarkov +2
For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau v…
Well formedness vs weak well formedness
Victor Przyjalkowski
In the literature there are two definitions of well formed varieties in weighted projective spaces. According to the first one, well formed variety is the one whose intersection wi…
Laurent polynomials in Mirror Symmetry: why and how?
Alexander Kasprzyk, Victor Przyjalkowski
We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjectures, problems, and questions related to the subject. We discuss: how to constr…