Yusuke Nakayama

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20222024

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math.AG2024

Homogeneous Ulrich bundles on isotropic flag varieties

Xinyi Fang, Yusuke Nakayama

In this paper, we consider the existence problem of Ulrich bundles on a rational homogeneous space $G / P$ of type $B$ , $C$ or $D$ . We show that if the Picard number of $G / P$ is grea…

math.AG2023

Homogeneous Ulrich bundles on homogenous varieties of certain exceptional types

Yusuke Nakayama

This paper studies the Ulrich property of homogeneous vector bundles on rational homogenous varieties. We provide a criterion for an initialized irreducible homogeneous vector bund…

math.AG2022

Homogeneous ACM bundles on exceptional Grassmannians

Xinyi Fang, Yusuke Nakayama, Peng Ren

In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over exceptional Grassmannians in terms of their associated data. We show that there are only…