Taku Suzuki

collaborators

3 papers

math.AG2018

Varieties with nef diagonal

Taku Suzuki, Kiwamu Watanabe

For a smooth projective variety $X$ , we consider when the diagonal $Δ_{X}$ is nef as a cycle on $X \times X$ . In particular, we give a classification of complete intersections and smo…

math.AG2017

An invariant for embedded Fano manifolds covered by linear spaces

Taku Suzuki

For an embedded Fano manifold $X$ , we introduce a new invariant $S_{X}$ related to the dimension of covering linear spaces. The aim of this paper is to classify Fano manifolds $X$ wh…

math.AG2017

On the Picard number of Fano 6-folds with a non-small contraction

Taku Suzuki

A generalization of S. Mukai's conjecture says that if $X$ is a Fano $n$ -fold with Picard number $ρ_{X}$ and pseudo-index $i_{X}$ , then $ρ_{X} (i_{X} - 1) \leq n$ , with equality if and only i…