Kazushi Kobayashi

activity

20162024

most citedGeometric interpretation for exact triangles consisting of projectively flat bundles on higher dimensional complex tori

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 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.DG2022

A gerby deformation of complex tori and the homological mirror symmetry

Kazushi Kobayashi

Let $(X, X ˇ)$ be a mirror pair of a complex torus $X$ and its mirror partner $X ˇ$ . This mirror pair is described as the trivial special Lagrangian torus fibrations $X\…

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…

math.DG2017★ 1 cited

Geometric interpretation for exact triangles consisting of projectively flat bundles on higher dimensional 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, a simple projectively flat bundle $E(L,\mathcal{L})\…

math.DG2016★ 1 cited

On exact triangles consisting of stable vector bundles on tori

Kazushi Kobayashi

In this paper, we consider the exact triangles consisting of stable vector bundles on one-dimensional complex tori, and give a geometric interpretation of them in terms of the corr…