Stable vector bundles on curves: numerical invariants of their extremal subbundles
Keyword(s):
Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If $1 \leq t < r$ set $s_t(E)$:= sup $\lbrace t$(deg($E$)) - $r$(deg($F$)), where $F$ is a rank $t$ subsheaf of $E \rbrace $. Here we construct rank $r$ stable vector bundles $E$ on $X$ such that the sequence $ \lbrace s_t(E) \rbrace _{1 \leq t<r}$ has a prescribed value and the set of all subsheaves of $E$ with maximal degree may be explicitely described.
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2010 ◽
Vol 21
(11)
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pp. 1505-1529
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2019 ◽
Vol 99
(2)
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pp. 195-202
2012 ◽
Vol 23
(08)
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pp. 1250085
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1999 ◽
Vol 129
(2)
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pp. 229-234
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2006 ◽
Vol 17
(01)
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pp. 45-63
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