PFAFFIAN QUARTIC SURFACES AND REPRESENTATIONS OF CLIFFORD ALGEBRAS

Date

2012-01-01

Author

Coşkun, Emre
Mustopa, Yusuf

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Given a general ternary form f = f(x(1), x(2), x(3)) of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's correspondence between representations of the generalized Clifford algebra C f associated to f and Ulrich bundles on the surface X f := {w(4) = f(x(1), x(2), x(3))}. P-3 to construct a positive-dimensional family of 8-dimensional irreducible representations of C-f.

Subject Keywords

Syzygy conjecture, Moduli spaces, Curves, Bundles, Sheaves

URI

https://hdl.handle.net/11511/54349

Journal

DOCUMENTA MATHEMATICA

Collections

Department of Mathematics, Article

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Citation Formats

E. Coşkun and Y. Mustopa, “PFAFFIAN QUARTIC SURFACES AND REPRESENTATIONS OF CLIFFORD ALGEBRAS,” DOCUMENTA MATHEMATICA, pp. 1003–1028, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54349.