Add to ORKGAbstract. This article is a geometric application of polarized logarithmic Hodge theory of Kazuya Kato and Sampei Usui. We prove generic Torelli theorem for the well-known quintic-mirror family in two ways by using different logarithmic points at the boundary of the fine moduli of polarized logarithmic Hodge structures. x1. Review of quntic-mirror family We review the construction of the mirror family of the pencil joining quintic hyper-surface of Fermat type and the simplex consisting of the coordinate hyperplanes in a 4-dimensional complex projective space after [M1]. Let ψ 2 P1, and let (1) Qψ =
International audienceWe show how to recover a general hypersurface in $\mathbb{P}^n$ of sufficientl...
This thesis considers mirror symmetry for the small quantum cohomology of cominuscule homogeneous sp...
Abstract. Let D = {D1,..., D`} be a multi-degree arrangement with normal crossings on the complex pr...
This article is a geometric application of polarized logarithmic Hodge theory of Kazuya Kato and Sam...
We hope to understand the Hodge theoretic aspect of mirror symmetry in the framework of the fundamen...
Recently Log Geometry is used in Hodge Theory and there is a little progress in Torelli-type Problem...
Let X be a complex projective manifold. One can associate to X its cohomological data (for instance,...
Abstract. Let D = {D1,..., D`} be an arrangement of smooth hyper-surfaces with normal crossings on t...
We correct the definitions and descriptions of the integral structures in [30]. The previous flat ba...
This work develops a method to canonically compactify mirror families for positive pairs (Y,D), wher...
Abstract. We give a description of the relative Hilbert scheme of lines in the Dwork pencil of quint...
Let D = {D_1, . . . ,D_ℓ} be a multi-degree arrangement with normal crossings on the complex project...
We prove a global torelli theorem for pairs (Y,D) where Y is a smooth projective rational surface an...
Let D = {D_1, . . . , D_l} be an arrangement of smooth hypersurfaces with normal crossings on the co...
© 2021 University Press, Inc.We consider the residual B-model variation of Hodge structure of Iritan...
International audienceWe show how to recover a general hypersurface in $\mathbb{P}^n$ of sufficientl...
This thesis considers mirror symmetry for the small quantum cohomology of cominuscule homogeneous sp...
Abstract. Let D = {D1,..., D`} be a multi-degree arrangement with normal crossings on the complex pr...
This article is a geometric application of polarized logarithmic Hodge theory of Kazuya Kato and Sam...
We hope to understand the Hodge theoretic aspect of mirror symmetry in the framework of the fundamen...
Recently Log Geometry is used in Hodge Theory and there is a little progress in Torelli-type Problem...
Let X be a complex projective manifold. One can associate to X its cohomological data (for instance,...
Abstract. Let D = {D1,..., D`} be an arrangement of smooth hyper-surfaces with normal crossings on t...
We correct the definitions and descriptions of the integral structures in [30]. The previous flat ba...
This work develops a method to canonically compactify mirror families for positive pairs (Y,D), wher...
Abstract. We give a description of the relative Hilbert scheme of lines in the Dwork pencil of quint...
Let D = {D_1, . . . ,D_ℓ} be a multi-degree arrangement with normal crossings on the complex project...
We prove a global torelli theorem for pairs (Y,D) where Y is a smooth projective rational surface an...
Let D = {D_1, . . . , D_l} be an arrangement of smooth hypersurfaces with normal crossings on the co...
© 2021 University Press, Inc.We consider the residual B-model variation of Hodge structure of Iritan...
International audienceWe show how to recover a general hypersurface in $\mathbb{P}^n$ of sufficientl...
This thesis considers mirror symmetry for the small quantum cohomology of cominuscule homogeneous sp...
Abstract. Let D = {D1,..., D`} be a multi-degree arrangement with normal crossings on the complex pr...