PIRSA:09050040

Spaces of Linear Modules on Regular Graded Clifford algebras

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}}
          }

Colin Ingalls Carleton University

DOI 10.48660/09050040
Collection
Talk Type Conference

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.