Kazushi Kobayashi

activity

20192024

collaborators

3 papers

math.DG2024

On a B-field transform of generalized complex structures over complex tori

Kazushi Kobayashi

Let $(X^{n}, X ˇ^{n})$ be a mirror pair of an $n$ -dimensional complex torus $X^{n}$ and its mirror partner $X ˇ^{n}$ . Then, by SYZ transform, we can construct a holomorphic line…

math.DG2020

Remarks on the homological mirror symmetry for tori

Kazushi Kobayashi

Let us consider an $n$ -dimensional complex torus $T_{J = T}^{2 n} := C^{n} /2 π (Z^{n} \oplus T Z^{n})$ . Here, $T$ is a complex matrix of order $n$ whose imaginary part…

math.DG2019

The bijectivity of mirror functors on tori

Kazushi Kobayashi

By the SYZ construction, a mirror pair $(X, X ˇ)$ of a complex torus $X$ and a mirror partner $X ˇ$ of the complex torus $X$ is described as the special Lagrangian torus…