Some remarks on Humbert–Edge’s curves
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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.
KeywordsCurves with automorphisms Jacobian varieties Intersection of quadrics
Mathematics Subject Classification14H37 14H40 14H45
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