Kotaro Kawatani

activity

20092026

most citedNonexistence of semiorthogonal decompositions and sections of the canonical bundle

15 citations · 32 across the 13 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.AG2010

The group of autoequivalences and the Fourier-Mukai number of a projective manifold

Kotaro Kawatani

Let $X$ be a smooth projective variety and $\Aut (D(X))$ the group of autoequivalences of the derived category of $X$ . In this paper we show that $X$ has no Fourier-Mukai partner o…

math.AG2010

Stability conditions and $μ$ -stable sheaves on K3 surfaces with Picard number one

Kotaro Kawatani

In this article, we show that some semi-rigid $μ$ -stable sheaves on a projective K3 surface $X$ with Picard number 1 are stable in the sense of Bridgeland's stability condition. As…

The group of autoequivalences and the Fourier-Mukai number of a projective manifold

Stability conditions and μ-stable sheaves on K3 surfaces with Picard number one

Stability conditions and $μ$ -stable sheaves on K3 surfaces with Picard number one