Aspects of functoriality in homological mirror symmetry for toric varieties
We study homological mirror symmetry for toric varieties, exploring the relationship between
various Fukaya-Seidel categories which have been employed for constructing the mirror to a …
various Fukaya-Seidel categories which have been employed for constructing the mirror to a …
Topological mirror symmetry for Clarke mirror pairs
A Harder, S Lee - arXiv preprint arXiv:2408.09016, 2024 - arxiv.org
We prove a duality between the graded pieces of the irregular Hodge filtration on the twisted
cohomology for a large class of Clarke dual pairs of Landau--Ginzburg models. This results …
cohomology for a large class of Clarke dual pairs of Landau--Ginzburg models. This results …
BHK mirror symmetry for K3 surfaces with non-symplectic automorphism
P Comparin, N Priddis - Journal of the Mathematical Society of Japan, 2021 - jstage.jst.go.jp
In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted
projective space, that admit a non-symplectic automorphism of non-prime order, excluding …
projective space, that admit a non-symplectic automorphism of non-prime order, excluding …
Birationality and Landau–Ginzburg Models
P Clarke - Communications in Mathematical Physics, 2017 - Springer
We introduce a new technique for approaching birationality questions that arise in the mirror
symmetry of complete intersections in toric varieties. As an application we answer …
symmetry of complete intersections in toric varieties. As an application we answer …
BHK mirror symmetry for K3 surfaces with non-symplectic automorphism
P Comparin, N Priddis - arXiv preprint arXiv:1704.00354, 2017 - arxiv.org
In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted
projective space, and admitting a non-symplectic automorphism of non-prime order …
projective space, and admitting a non-symplectic automorphism of non-prime order …