10 citations · 34 across the 15 of their papers we have counts for
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Non-commutative projective Calabi-Yau schemes
Atsushi Kanazawa
The objective of the present article is to construct the first examples of (non-trivial) non-commutative projective Calabi-Yau schemes in the sense of Artin and Zhang.
Calabi-Yau threefolds of type K (I): Classification
Kenji Hashimoto, Atsushi Kanazawa
Any Calabi-Yau threefold X with infinite fundamental group admits an étale Galois covering either by an abelian threefold or by the product of a K3 surface and an elliptic curve. W…
Lectures on BCOV holomorphic anomaly equations
Atsushi Kanazawa, Jie Zhou
The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lecture…
Degenerating Hodge structure of one-parameter family of Calabi-Yau threefolds
Tatsuki Hayama, Atsushi Kanazawa
To a one-parameter family of Calabi-Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. In the present paper, we study the image of a…