An invariant for varieties in positive characteristic

2002/01/25 by Gerard van der Geer, G. van der Geer, Toshiyuki Katsura +3
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0201246

Latex, 11 pages

arxiv created 2002/01/25 · openalex publication_date 2002/01/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce an invariant of varieties in positive characteristic which generalizes the a-number of an abelian variety. We calculate it in some examples and discuss its meaning for moduli.

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