PIRSA:09050040 Conference

DOI10.48660/09050040

Conference/School: Connections in Geometry and Physics - 2009

Ingalls, C. (2009). Spaces of Linear Modules on Regular Graded Clifford algebras. Perimeter Institute. https://pirsa.org/09050040

Ingalls, Colin. Spaces of Linear Modules on Regular Graded Clifford algebras. Perimeter Institute, May. 10, 2009, https://pirsa.org/09050040 

@misc{ pirsa_PIRSA:09050040,
  doi = {10.48660/09050040},
  url = {https://pirsa.org/09050040},
  author = {Ingalls, Colin},
  keywords = {},
  language = {en},
  title = {Spaces of Linear Modules on Regular Graded Clifford algebras},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {may},
  note = {PIRSA:09050040 see, \url{https://pirsa.org}}
}

Abstract

The space of regular noncommutative algebras includes regular graded Clifford algebras, which correspond to base point free linear systems of quadrics in dimension n in P^n. The schemes of linear modules for these algebras can be described in terms of this linear system. We show that the space of line modules on a 4 dimensional algebra is an Enriques surface called the Reye congruence, and we extend this result to higher dimensions.

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