Some remarks on Humbert–Edge’s curves
- 29 Downloads
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
- 4.Cheltsov, I., Shramov, C.: Finite collineation groups and birational rigidity (2017). arXiv:1712.08258
- 11.Miranda, R.: Algebraic Curves and Riemann Surfaces. Graduate Studies in Mathematics, vol. 5. American Mathematical Society, Providence (1995)Google Scholar
- 12.Reid, M.: The Complete Intersection of Two or More Quadrics. Ph.D. Thesis, Cambridge University (1972)Google Scholar