On Fano varieties with large pseudo-index

Details On Fano varieties with large pseudo-index On Fano varieties with large pseudo-index

2009-10-28

arxiv.org/abs/0910.5383v1

Mathematics

Algebraic Geometry

submitted to ASPM

Scientific paper

Let $X$ be a Fano variety with at worst isolated quotient singularities. Our
result asserts that if $C \cdot (-K_X) > max\{\frac{n}{2}+1,\frac{2n}{3}\}$ for
every curve $C \subset X$, then $\rho_X=1$.

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