Slope Stability for Lines on Products of Fano Manifolds


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Abstract

In this paper, we consider the slope stability of products X of two Fano manifolds with Picard number 1 which are covered by lines. We show that such manifolds X are slope stable with respect to lines for any polarization except X = ℙ1 × ℙn−1.

About the authors

T. Suzuki

Utsunomiya University; Waseda University

Author for correspondence.
Email: taku.suzuki@cc.utsunomiya-u.ac.jp
Japan, Utsunomiya; Tokyo

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