On Landau–Ginzburg models for Fano varieties

An Example of Mirror Symmetry for Fano Threefolds

“…The definition of "mirror" that we are using comes from [CCG + 13,Prz07,Prz13] and is given in Definition 3.4.…”

Generalized Homological Mirror Symmetry and cubics

“…2 algebraically following [10]. The (noncompact) LandauGinzburg model for the four-dimensional cubic is…”

On weak Landau-Ginzburg models for complete intersections in Grassmannians

“…It can be computed in the following way: if φj is the constant term of f j , then I f (t) = φjt j . This definition is justified by the following 'folklore' statement (see [8], Proposition 2, or [4], Theorem 3.2): If P is a Picard-Fuchs differential operator for a pencil of hypersurfaces that is determined by f in a torus, then P [I f (t)] = 0.…”