Английская Википедия:Coble hypersurface

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Версия от 00:50, 20 февраля 2024; EducationBot (обсуждение | вклад) (Новая страница: «{{Английская Википедия/Панель перехода}} 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-thet...»)
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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 Шаблон:Harv, 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 Шаблон:Harv, also called a Coble hypersurface.

See also

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