The Toledo invariant, and Seshadri constants of fake projective planes
2017 年 69 巻 4 号 p. 1601-1610
詳細
2017 年 69 巻 4 号 p. 1601-1610
The purpose of this paper is to explicitly compute the Seshadri constants of all ample line bundles on fake projective planes. The proof relies on the theory of the Toledo invariant, and more precisely on its characterization of ℂ-Fuchsian curves in complex hyperbolic spaces.
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