Weak boundedness of Fano threefolds with large Seshadri constants in characteristic $p>5$

Abstract

Given $\epsilon >0$, we show that over an algebraically closed field of characteristic $p>5$, the anticanonical volume of a Fano threefold $X$ (with arbitrary singularities) whose anticanonical divisor has Seshadri constant $\epsilon (-K_X,x)>2+\epsilon$ at some smooth point $x\in X$ is bounded from above.

arXiv commentThe content of this article has been merged into arXiv:1707.02682

Cited by in corpus (1)

• On the boundedness of anti-canonical volumes of singular Fano $3$-folds in characteristic $p>5$