7 citations · 34 across the 16 of their papers we have counts for
17 papers
j-invariant and Borcherds Phi-function
Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the…
Analytic torsion for log-Enriques surfaces and Borcherds product
Xianzhe Dai, Ken-Ichi Yoshikawa
We introduce a holomorphic torsion invariant of log-Enriques surfaces of index two with cyclic quotient singularities of type . The moduli space of such log-Enriq…
Counting curve types
Tarik Aougab, Juan Souto
Let be a closed orientable hyperbolic surface, and let denote the number of mapping class group orbits of curves on with at most self-intersections.…
K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: the structure of invariant
Shouhei Ma, Ken-Ichi Yoshikawa
A holomorphic torsion invariant of K3 surfaces with involution was introduced by the second-named author. In this paper, we completely determine its structure as an automorphic fun…
Analytic torsion for Borcea-Voisin threefolds
Ken-Ichi Yoshikawa
In their study of genus-one string amplitude, Bershadsky-Cecotti-Ooguri-Vafa discovered a remarkable identification between holomorphic Ray-Singer torsion and instanton numbers for…
Degenerations of Calabi-Yau threefolds and BCOV invariants
Ken-Ichi Yoshikawa
In their papers published in 1993 and 1994, by expressing certain physical quantity in two distinct ways, Bershadsky-Cecotti-Ooguri-Vafa discovered a remarkable equivalence between…