Semistability of Frobenius direct images over curves

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dc.creatorMehta, Vikram
dc.creatorPauly, Christian
dc.date2006-07-22
dc.date.accessioned2026-07-07T07:20:49Z
dc.date.available2026-07-07T07:20:49Z
dc.descriptionLet $X$ be a smooth projective curve of genus $g \geq 2$ defined over an algebraically closed field $k$ of characteristic $p>0$. Given a semistable vector bundle $E$ over $X$, we show that its direct image $F\_*E$ under the Frobenius map $F$ of $X$ is again semistable. We deduce a numerical characterization of the stable rank-$p$ vector bundles $F\_*L$, where $L$ is a line bundle over $X$.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0607565
dc.identifierhttp://arxiv.org/abs/math/0607565
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115085
dc.subjectAlgebraic Geometry
dc.subject14H40, 14D20
dc.titleSemistability of Frobenius direct images over curves
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