In this article we present a refinement of the base point free theorem for threefolds in positive characteristic. If L is a nef Cartier divisor of numerical dimension at least one on a projective Kawamata log terminal threefold (X, 1) over a perfect field k of characteristic p >> 0 such that L - (K-X + 1) is big and nef, then we show that the linear system |mL| is base point free for all sufficiently large integers m > 0.
On the base point free theorem for klt threefolds in large characteristic / Bernasconi, F. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 22:2(2021), pp. 583-600.
On the base point free theorem for klt threefolds in large characteristic
Bernasconi F
2021
Abstract
In this article we present a refinement of the base point free theorem for threefolds in positive characteristic. If L is a nef Cartier divisor of numerical dimension at least one on a projective Kawamata log terminal threefold (X, 1) over a perfect field k of characteristic p >> 0 such that L - (K-X + 1) is big and nef, then we show that the linear system |mL| is base point free for all sufficiently large integers m > 0.| File | Dimensione | Formato | |
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