Zobrazeno 1 - 10
of 108
pro vyhledávání: '"KANAZAWA, Atsushi"'
Autor:
Hosono, Shinobu, Kanazawa, Atsushi
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 polarized K3 surfaces over $\mathbb{P}^{1}$. Moreover, for Clingher-Doran's
Externí odkaz:
http://arxiv.org/abs/2303.04383
Autor:
Fan, Yu-Wei, Kanazawa, Atsushi
We investigate the complex and K\"ahler attractor mechanisms of moduli spaces of Calabi-Yau 3-folds. The complex attractor mechanism was previously studied by Ferrara-Kallosh-Strominger, Moore and others in string theory. It is concerned with the min
Externí odkaz:
http://arxiv.org/abs/2108.07262
Autor:
Kanazawa, Atsushi
The present article is concerned with mirror symmetry for generalized K3 surfaces, with particular emphasis on complex and K\"ahler rigid structures. Inspired by the works of Dolgachev, Aspinwall-Morrison and Huybrechts, we introduce a formulation of
Externí odkaz:
http://arxiv.org/abs/2108.05197
Autor:
Kanazawa, Atsushi
We discuss various topics on degenerations and special Lagrangian torus fibrations of Calabi-Yau manifolds in the context of mirror symmetry. A particular emphasis is on Tyurin degenerations and the Doran-Harder-Thompson conjecture, which builds a br
Externí odkaz:
http://arxiv.org/abs/1801.02749
Inspired by mirror symmetry, we investigate some differential geometric aspects of the space of Bridgeland stability conditions on a Calabi-Yau triangulated category. The aim is to develop theory of Weil-Petersson geometry on the stringy K\"ahler mod
Externí odkaz:
http://arxiv.org/abs/1708.02161
Autor:
Kanazawa, Atsushi
This thesis studies various aspects of Calabi-Yau manifolds and related geometry. It is organized into 6 chapters. Chapter 1 is the introduction of the thesis. It is devoted to background materials on K3 surfaces and Calabi-Yau threefolds. This chapt
Externí odkaz:
http://hdl.handle.net/2429/46495
Autor:
Kanazawa, Atsushi
Publikováno v:
SIGMA 13 (2017), 024, 13 pages
We prove the Doran-Harder-Thompson conjecture in the case of elliptic curves by using ideas from SYZ mirror symmetry. The conjecture claims that when a Calabi-Yau manifold $X$ degenerates to a union of two quasi-Fano manifolds (Tyurin degeneration),
Externí odkaz:
http://arxiv.org/abs/1612.04623
Autor:
Kanazawa, Atsushi, Lau, Siu-Cheong
We carry out the SYZ program for the local Calabi--Yau manifolds of type $\widetilde{A}$ by developing an equivariant SYZ theory for the toric Calabi--Yau manifolds of infinite-type. Mirror geometry is shown to be expressed in terms of the Riemann th
Externí odkaz:
http://arxiv.org/abs/1605.00342
Autor:
Hashimoto, Kenji, Kanazawa, Atsushi
A Calabi-Yau threefold is called of type K if it admits an \'etale Galois covering by the product of a K3 surface and an elliptic curve. In our previous paper, based on Oguiso-Sakurai's fundamental work, we provide the full classification of Calabi-Y
Externí odkaz:
http://arxiv.org/abs/1511.08778