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- W2025643287 abstract "Let $X$ be a smooth projective variety over an algebraically closed field $k$ of characteristic $p>0$ of $dim Xgeq 4$ and Picard number $rho(X)=1$. Suppose that $X$ satisfies $H^i(X,F^{m*}_X(Omg^j_X)otimesLs^{-1})=0$ for any ample line bundle $Ls$ on $X$, and any nonnegative integers $m,i,j$ with $0leq i+j<dim X$, where $F_X:Xrightarrow X$ is the absolute Frobenius morphism. We prove that by procedures combining taking smooth hypersurfaces of dimension $geq 3$ and cyclic covers along smooth divisors, if the resulting smooth projective variety $Y$ has ample (resp. nef) canonical bundle $omega_Y$, then $Omg_Y$ is strongly stable $($resp. strongly semistable$)$ with respect to any polarization." @default.
- W2025643287 created "2016-06-24" @default.
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- W2025643287 date "2014-05-01" @default.
- W2025643287 modified "2023-10-16" @default.
- W2025643287 title "Strong Stability of Cotangent Bundles of Cyclic Covers" @default.
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- W2025643287 doi "https://doi.org/10.48550/arxiv.1405.0106" @default.
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