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Hyperelliptic curves with zero Hasse-Witt matrix

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Publication:1345756
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DOI10.1007/BF02567987zbMath0833.14021MaRDI QIDQ1345756

Robert C. Valentini

Publication date: 11 March 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156047


zbMATH Keywords

characteristic \(p\)genusJacobian of a hyperelliptic curveproduct of supersingular elliptic curveszero Hasse-Witt matrix


Mathematics Subject Classification ID

Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15)


Related Items (4)

The level of pairs of polynomials ⋮ Differential operators and hyperelliptic curves over finite fields ⋮ A family of maximal hyperelliptic curves ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request



Cites Work

  • On the Jacobian varieties of hyperelliptic curves over fields of characteristic \(p>2\)
  • A family of hyperelliptic function fields with Hasse-Witt-invariant zero
  • Slopes of powers of Frobenius on crystalline cohomology
  • On supersingular curves and Abelian varieties.


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