TY - JOUR
T1 - Geometry of the Wiman–Edge pencil, I
T2 - algebro-geometric aspects
AU - Dolgachev, Igor
AU - Farb, Benson
AU - Looijenga, Eduard
PY - 2018/9/1
Y1 - 2018/9/1
N2 - In 1981 William L. Edge discovered and studied a pencil C of highly symmetric genus 6 projective curves with remarkable properties. Edge’s work was based on an 1895 paper of Anders Wiman. Both papers were written in the satisfying style of 19th century algebraic geometry. In this paper and its sequel Geometry of the Wiman–Edge pencil, II: hyperbolic, conformal and modular aspects (in preparation), we consider C from a more modern, conceptual perspective, whereby explicit equations are reincarnated as geometric objects.
AB - In 1981 William L. Edge discovered and studied a pencil C of highly symmetric genus 6 projective curves with remarkable properties. Edge’s work was based on an 1895 paper of Anders Wiman. Both papers were written in the satisfying style of 19th century algebraic geometry. In this paper and its sequel Geometry of the Wiman–Edge pencil, II: hyperbolic, conformal and modular aspects (in preparation), we consider C from a more modern, conceptual perspective, whereby explicit equations are reincarnated as geometric objects.
KW - Icosahedral symmetry
KW - Wiman curve
KW - Wiman–Edge pencil
UR - http://www.scopus.com/inward/record.url?scp=85053015071&partnerID=8YFLogxK
U2 - 10.1007/s40879-018-0231-3
DO - 10.1007/s40879-018-0231-3
M3 - Article
AN - SCOPUS:85053015071
SN - 2199-675X
VL - 4
SP - 879
EP - 930
JO - European Journal of Mathematics
JF - European Journal of Mathematics
IS - 3
ER -