Fano varieties with high degree

Details Fano varieties with high degree Fano varieties with high degree

1999-04-08

arxiv.org/abs/math/9904036v1

Mathematics

Algebraic Geometry

5 pages, LaTeX 2e

Scientific paper

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 $n^k/(\log n)^{k-1}$.

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