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arxiv: 1710.05395 · v4 · pith:P2OBZB2Onew · submitted 2017-10-15 · 🧮 math.AG

Families of algebraic varieties and towers of algebraic curves over finite fields

classification 🧮 math.AG
keywords algebraiccurvesfieldsfinitetowersconstructionexamplefamilies
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We introduce a new construction of towers of algebraic curves over finite fields and provide a simple example of an optimal tower.

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  1. Generalized Kummer surfaces over finite fields

    math.AG 2024-04 unverdicted novelty 5.0

    Refines Katsura theorem on abelian surface quotients birational to K3 surfaces and computes Frobenius traces on NS groups of supersingular generalized Kummer surfaces over finite fields.