On p‐power freeness in positive characteristic

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  • Hiromu Tanaka
    Graduate School of Mathematical Sciences The University of Tokyo 3‐8‐1 Komaba Meguro‐ku Tokyo 153‐8914 Japan

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<jats:title>Abstract</jats:title><jats:p>In this note, we study base point freeness up to taking p‐power, which we will call p‐power freeness. We first establish some criteria for p‐power freeness as analogues of criteria for semi‐ampleness. We then apply these results to three‐dimensional birational geometry.</jats:p>

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