Jacobians in isogeny classes of abelian surfaces over finite fields (Q1010974)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jacobians in isogeny classes of abelian surfaces over finite fields |
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Jacobians in isogeny classes of abelian surfaces over finite fields (English)
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7 April 2009
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This well written paper provides a complete classification as to which quartic polynomials occur as the characteristic polynomial of Frobenius on the Jacobian of a genus 2 curve over a finite field. This builds on earlier work of several authors. The main cases handled in this paper are split isogeny classes and supersingular isogeny classes.
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curve
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Jacobian
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abelian surface
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zeta function
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Weil polynomial
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Weil number
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0.91984844
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0.9097183
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0.9089726
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0.90784913
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0.9063558
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0.9050016
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0.90428245
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0.9038259
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