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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 $r\mid d$.
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- Research Article
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- © 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).