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.
Families of algebraic varieties and towers of algebraic curves over finite fields
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abstract
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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math.AG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
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Generalized Kummer surfaces over finite fields
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.