|
Slope Stability for Lines on Products of Fano Manifolds
T. Suzuki Utsunomiya University
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 $X=\mathbb P^1\times \mathbb P^{n-1}$.
Keywords:
slope stability, Fano manifolds, covered by lines, Seshadri constant.
Received: 28.12.2016
Citation:
T. Suzuki, “Slope Stability for Lines on Products of Fano Manifolds”, Mat. Zametki, 103:6 (2018), 902–911; Math. Notes, 103:6 (2018), 968–976
Linking options:
https://www.mathnet.ru/eng/mzm12007https://doi.org/10.4213/mzm12007 https://www.mathnet.ru/eng/mzm/v103/i6/p902
|
Statistics & downloads: |
Abstract page: | 283 | Full-text PDF : | 25 | References: | 34 | First page: | 6 |
|