Uniform Trace-free Bundles of Triple Covers over Projective Planes
Algebraic Geometry
2019-10-10 v1
Abstract
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 degree of the branch divisor of a normal triple cover over is no more than and not equal to , then the trace-free bundle of the triple cover is uniform. Moreover, we totally classified all these trace-free bundles.
Cite
@article{arxiv.1910.03909,
title = {Uniform Trace-free Bundles of Triple Covers over Projective Planes},
author = {Xinyi Fang and Yongtao Wang},
journal= {arXiv preprint arXiv:1910.03909},
year = {2019}
}
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8 pages