Taku Suzuki

activity

20162024

most citedHigher order minimal families of rational curves and Fano manifolds with nef Chern characters

4 citations · 4 across the 4 of their papers we have counts for

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math.AG2024

Fano manifolds whose Chern characters satisfy some positivity conditions

Taku Suzuki

In this paper, we investigate Fano manifolds whose Chern characters satisfy some positivity conditions. We prove that such manifolds admit long chains of higher order minimal famil…

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…

math.AG2016★ 4 cited

Higher order minimal families of rational curves and Fano manifolds with nef Chern characters

Taku Suzuki

In this paper, we investigate higher order minimal families $H_{i}$ of rational curves associated to Fano manifolds $X$ . We prove that $H_{i}$ is also a Fano manifold if the Chern char…