Geodesic
Slope Stability for Lines on Products of Fano Manifolds
Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 902-911

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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. 
@article{MZM_2018_103_6_a8,
     author = {T. Suzuki},
     title = {Slope {Stability} for {Lines} on {Products} of {Fano} {Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {902--911},
     publisher = {mathdoc},
     volume = {103},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a8/}
}
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T. Suzuki. Slope Stability for Lines on Products of Fano Manifolds. Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 902-911. http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a8/