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- W4300881717 abstract "Suppose that $X$ is a projective variety over an algebraically closed field of characteristic $p > 0$. Further suppose that $L$ is an ample (or more generally in some sense positive) divisor. We study a natural linear system in $|K_X + L|$. We further generalize this to incorporate a boundary divisor $Delta$. We show that these subsystems behave like the global sections associated to multiplier ideals, $H^0(X, mJ(X, Delta) tensor L)$ in characteristic zero. In particular, we show that these systems are in many cases base-point-free. While the original proof utilized Kawamata-Viehweg vanishing and variants of multiplier ideals, our proof uses test ideals." @default.
- W4300881717 created "2022-10-04" @default.
- W4300881717 creator A5034640542 @default.
- W4300881717 date "2011-07-19" @default.
- W4300881717 modified "2023-09-27" @default.
- W4300881717 title "A canonical linear system associated to adjoint divisors in characteristic $p > 0$" @default.
- W4300881717 doi "https://doi.org/10.48550/arxiv.1107.3833" @default.
- W4300881717 hasPublicationYear "2011" @default.
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