Fano varieties with high degree

1999/04/08 by Olivier Debarre, Debarre, Olivier
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9904036

5 pages, LaTeX 2e

arxiv created 1999/04/08 · arxiv updated 2009/11/30

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.

Related

• Fano varieties with Nef(X)=Psef(X) and ρ(X)=dim X-1
• Fano Varieties with Large Degree Endomorphisms
• On Fano varieties whose effective divisors are numerically eventually free
• Fano varieties of middle pseudoindex
• Fano manifolds obtained by blowing up along curves with maximal Picard number