6 papers · 1 filter
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…
Homogeneous ACM bundles on isotropic Grassmannians
Rong Du, Xinyi Fang, Peng Ren
In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over isotropic Grassmannians of types , and in term of step matrices. We show that…
Vector Bundles on Rational Homogeneous Spaces
Rong Du, Xinyi Fang, Yun Gao
We consider a uniform -bundle on a complex rational homogeneous space %over complex number field and show that if is poly-uniform with respect to all th…
Uniform Trace-free Bundles of Triple Covers over Projective Planes
Xinyi Fang, Yongtao Wang
Studying coverings over algebraic varieties is an effective method in algebraic geometry. By combining the technique of triple cover from Miranda and Tan, we proved that if the deg…
Vector Bundles on Flag varieties
Rong Du, Xinyi Fang, Yun Gao
We study vector bundles on flag varieties over an algebraically closed field . In the first part, we suppose to be the Grassmannian manifold para…
Normal bundles on the exceptional sets of simple small resolutions
Rong Du, Xinyi Fang
We study the normal bundles of the exceptional sets of isolated simple small singularities in the higher dimension when the Picard group of the exceptional set is and…