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The arithmetic volume of hypersurfaces in toric varieties and Mahler measures

Published 28 Jun 2022 in math.AG and math.NT | (2206.14232v2)

Abstract: In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hypersurfaces in smooth projective toric varieties.

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