European Journal of Mathematics

, Volume 4, Issue 3, pp 988–999 | Cite as

Some remarks on Humbert–Edge’s curves

  • Juan B. Frías-Medina
  • Alexis G. Zamora
Research Article


We discuss William L. Edge’s approach to Humbert’s curves as a canonical genus 5 curve that is a complete intersection of diagonal quadrics. Moreover, the contribution of Edge to the study of projective curves Open image in new window that are complete intersections of \(n-1\) quadrics is explained and some results, complementary to Edge’s exposition, are proved.


Curves with automorphisms Jacobian varieties Intersection of quadrics 

Mathematics Subject Classification

14H37 14H40 14H45 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Instituto de MatemáticasUniversidad Nacional Autónoma de MéxicoMexico CityMexico
  2. 2.Unidad Académica de MatemáticasUniversidad Autónoma de ZacatecasZacatecasMexico
  3. 3.Instituto de Física y MatemáticasUniversidad Michoacana de San Nicolás de HidalgoMoreliaMexico

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