427 citations · 984 across the 34 of their papers we have counts for
34 papers
Families of Calabi-Yau manifolds and mirror symmetry
Shinobu Hosono
We survey mirror symmetry of Calabi-Yau manifolds from the perspective of families of Calabi-Yau manifolds and their period integrals. Special emphasis is laid on distinguished pro…
BCOV cusp forms of lattice polarized K3 surfaces
Shinobu Hosono, Atsushi Kanazawa
We introduce the BCOV formula for the lattice polarized K3 surfaces. We find that it yields cusp forms expressed by certain eta products for many families of rank 19 lattice polari…
Mirror Symmetry of Calabi-Yau Manifolds Fibered by (1,8)-Polarized Abelian Surfaces
Shinobu Hosono, Hiromichi Takagi
We study mirror symmetry of a family of Calabi-Yau manifolds fibered by (1,8)-polarized abelian surfaces with Euler characteristic zero. By describing the parameter space globally,…
Mirror symmetry for double cover Calabi--Yau varieties
Shinobu Hosono, Tsung-Ju Lee, Bong H. Lian +1
The presented paper is a continuation of the series of papers arXiv:1810.00606 and arXiv:1903.09373. In this paper, utilizing Batyrev and Borisov's duality construction on nef-part…
K3 surfaces from configurations of six lines in and mirror symmetry II --- -functions ---
Shinobu Hosono, Bong Lian, Shing-Tung Yau
We continue our study on the hypergeometric system which describes period integrals of the double cover family of K3 surfaces. Near certain special boundary points in the…
K3 surfaces from configurations of six lines in and mirror symmetry I
Shinobu Hosono, Bong H. Lian, Hiromichi Takagi +1
From the viewpoint of mirror symmetry, we revisit the hypergeometric system for a family of K3 surfaces. We construct a good resolution of the Baily-Borel-Satake compactif…