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ON MAXIMALLY FROBENIUS DESTABILISED VECTOR BUNDLES
Published online by Cambridge University Press: 04 January 2019
Abstract
Let $X$ be a smooth projective curve of genus
$g\geq 2$ over an algebraically closed field
$k$ of characteristic
$p>0$. We show that for any integers
$r$ and
$d$ with
$0<r<p$, there exists a maximally Frobenius destabilised stable vector bundle of rank
$r$ and degree
$d$ on
$X$ if and only if
$r\mid d$.
- Type
- Research Article
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- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
This work was supported by the National Natural Science Foundation of China (Grant No. 11501418) and the Shanghai Sailing Program (15YF1412500).