Fano varieties with high degree

Abstract

For any positive integer $k$ and any integer $n$ large enough, we construct a Fano variety $X$ with Picard number $k$ and dimension $n$ such that $((-K_X{)}^n{)}^{1/n}$ grows like $n^k/(\log n{)}^{k-1}$.

arXiv comment5 pages, LaTeX 2e

References in corpus (1)

• On semipositivity of sheaves of differential operators and the degree of a unipolar Q-Fano variety