4 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…