Systems of polynomial equations defining hyperelliptic \(d\)-osculating covers

DOI10.1007/s10688-015-0081-4zbMath1359.14032OpenAlexW2038760901MaRDI QIDQ498349

Armando Treibich

Publication date: 28 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0081-4

zbMATH Keywords

hyperelliptic curvesWeierstrass points\(d\)-osculating covers

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Elliptic curves (14H52) Commutative rings of differential operators and their modules (13N10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Elliptic functions and integrals (33E05)

Cites Work

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• Hurwitz spaces of genus 2 covers of an elliptic curve.
• Reduction of Abelian functions and algebraically integrable systems. II
• Hyperelliptic \(d\)-osculating covers and elliptic solutions of the KdV hierarchy. (Revêtements hyperelliptiques \(d\)-osculateurs et solutions elliptiques de la hiérarchie KdV)
• Covers of tori: genus two
• The number of genus 2 covers of an elliptic curve
• Chebyshev representation for rational functions
• The number of curves of genus two with elliptic differentials.
• Hyperelliptic $d$-osculating covers and rational surfaces
• Curves of genus 2 with \((N,N)\) decomposable Jacobians

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