Some Open Questions about Curves and Abelian Varieties over Finite Fields

Nicholas M. Katz

doi:10.1007/s10013-023-00612-8

Some Open Questions about Curves and Abelian Varieties over Finite Fields

Nicholas M. Katz

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This is an entirely expository paper. We explain some open questions about curves and abelian varieties over finite fields, and about possible interrelations, or nonexistence thereof, among them.

Original language	English (US)
Pages (from-to)	715-720
Number of pages	6
Journal	Vietnam Journal of Mathematics
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/s10013-023-00612-8
State	Published - Jul 2023

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Abelian variety
Curve
Finite field
Isogeny
Jacobian

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10.1007/s10013-023-00612-8

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title = "Some Open Questions about Curves and Abelian Varieties over Finite Fields",

abstract = "This is an entirely expository paper. We explain some open questions about curves and abelian varieties over finite fields, and about possible interrelations, or nonexistence thereof, among them.",

keywords = "Abelian variety, Curve, Finite field, Isogeny, Jacobian",

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KW - Curve

KW - Finite field

KW - Isogeny

KW - Jacobian

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Some Open Questions about Curves and Abelian Varieties over Finite Fields

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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