Stability of sheaves of locally closed and exact forms

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dc.creatorSun, Xiaotao
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:14:26Z
dc.date.available2026-07-07T13:14:26Z
dc.descriptionFor any smooth projective variety $X$ of dimension $n$ over an algebraically closed field $k$ of characteristic $p>0$ with $μ(Ω^1_X)>0$. If ${\rm T}^{\ell}(Ω^1_X)$ ($0<\ell<n(p-1)$) are semi-stable, then the sheaf $B^1_X$ of exact 1-forms is stable. When $X$ is a surface with $μ(Ω^1_X)>0$ and $Ω^1_X$ is semi-stable, the sheaf $B^2_X$ of exact 2-forms is also stable. Moreover, under the same condition, the sheaf $Z^1_X$ of closed 1-forms is stable when $p>3$, and $Z^1_X$ is semi-stable when $p=3$.
dc.identifierhttps://arxiv.org/abs/0905.2011
dc.identifierhttp://arxiv.org/abs/0905.2011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230206
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleStability of sheaves of locally closed and exact forms
dc.typetext

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