On base point free theorem of threefolds in positive characteristic

Abstract

Let $(X,\Delta )$ be a projective klt three dimensional pair defined over an algebraically closed field characteristic larger than 5. Let $L$ be a nef and big line bundle on $X$ such that $L-K_X-\Delta$ is big and nef. We show that $L$ is indeed semi-ample.

Minor changes in the second version

References in corpus (1)

• ACC for log canonical thresholds

Cited by in corpus (4)

• Test ideals in rings with finitely generated anti-canonical algebras
• On base point free theorem for log canonical threefolds over the algebraic closure of a finite field
• Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields
• On Rational Connectedness of Globally F-Regular Threefolds