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On a conjecture of Demailly and new bounds on Waldschmidt constants in PN

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In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constants… Click to show full abstract

In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constants of such sets. Waldschmidt constants are asymptotic invariants of subschemes receiving recently considerable amount of attention.

Keywords: bounds waldschmidt; new bounds; demailly new; conjecture demailly; waldschmidt constants

Journal Title: Journal of Number Theory
Year Published: 2018

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