Fano varieties with high degree

arXivmath/9904036MaRDI QIDQ6501270

Olivier Debarre

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

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