In algebraic geometry, a Coble hypersurface is one of the hypersurfaces associated to the Jacobian variety of a curve
of genus 2 or 3 by Arthur Coble.
There are two similar but different types of Coble hypersurfaces.
The Kummer variety of the Jacobian of a genus 3 curve can be embedded in 7-dimensional projective space under the 2-theta map, and is then the singular locus of a 6-dimensional quartic hypersurface (Coble 1982), called a Coble hypersurface.
Similarly the Jacobian of a genus 2 curve can be embedded in 8-dimensional projective space under the 3-theta map, and is then the singular locus of a 7-dimensional cubic hypersurface (Coble 1917), also called a Coble hypersurface.
geometry, a Coblehypersurface is one of the hypersurfaces associated to the Jacobian variety of a curve of genus 2 or 3 by Arthur Coble. There are two...
4-dimensional variety that was first studied by Arthur Coble. Coble curve Coble surface Coblehypersurface Hunt, Bruce (1996), The geometry of some special...
Arthur B. Coble, 86, American mathematician with specialty in algebraic geometry, for whom the Coblehypersurface and three other concepts (the Coble curve...
lines. This group was gradually recognized (by Élie Cartan (1896), Arthur Coble (1915–17), and Patrick du Val (1936)) as the Weyl group of type E 6 {\displaystyle...
theory of matrix factorizations for maximal Cohen–Macaulay modules over hypersurface rings, the Eisenbud–Goto conjecture on degrees of generators of syzygy...
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