Some remarks on Humbert–Edge’s curves

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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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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