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Matematicheskie Zametki, 2018, Volume 103, Issue 6, Pages 902–911
DOI: https://doi.org/10.4213/mzm12007 (Mi mzm12007) 		 
Slope Stability for Lines on Products of Fano Manifolds

T. Suzuki

Utsunomiya University
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DOI: https://doi.org/10.4213/mzm12007
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.
Funding agency Grant number
Japan Society for the Promotion of Science
This work was supported by Grant-in-Aid for Research Activity Start-Up from the Japan Society for the Promotion of Science.
Received: 28.12.2016
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 968–976
DOI: https://doi.org/10.1134/S0001434618050334
Bibliographic databases:
Document Type: Article
UDC: 512.77
Language: Russian
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
Citation in format AMSBIB
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