28 citations · 70 across the 18 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.AG2010
Lengths of chains of minimal rational curves on Fano manifolds
Kiwamu Watanabe
In this paper, we consider a natural question how many minimal rational curves are needed to join two general points on a Fano manifold X of Picard number 1. In particular, we stud…
math.AG2010★ 1 cited
On projective manifolds swept out by cubic varieties
Kiwamu Watanabe
We study structures of embedded projective manifolds swept out by cubic varieties. We show if an embedded projective manifold is swept out by high-dimensional smooth cubic hypersur…
math.AG2010
A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1
Kiwamu Watanabe
In this paper, we investigate the minimal length of chains of minimal rational curves needed to join two general points on a Fano manifold of Picard number 1. In particular, we giv…