Kotaro Kawatani

most citedA hyperbolic metric and stability conditions on K3 surfaces with ρ=1

3 citations · 3 across the 3 of their papers we have counts for

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3 papers

math.AG2012★ 3 cited

A hyperbolic metric and stability conditions on K3 surfaces with ρ=1

Kotaro Kawatani

In this article we introduce a hyperbolic metric on the (normalized) space of stability conditions on projective K3 surfaces $X$ with Picard rank $ρ (X) = 1$ . And we show that all wa…

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…

A hyperbolic metric and stability conditions on K3 surfaces with ρ=1

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