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Systole inequalities for arithmetic locally symmetric spaces

Published 29 Sep 2017 in math.DG and math.NT | (1710.00071v2)

Abstract: In this paper we study the systole growth of arithmetic locally symmetric spaces up congruence covers and show that this growth is at least logarithmic in volume. This generalizes previous work of Buser and Sarnak as well as Katz, Schaps and Vishne where the case of compact hyperbolic 2- and 3-manifolds was considered.

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