PFAFFIAN QUARTIC SURFACES AND REPRESENTATIONS OF CLIFFORD ALGEBRAS

COŞKUN E., Kulkarni R. S., Mustopa Y.

DOCUMENTA MATHEMATICA, vol.17, pp.1003-1028, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 17
  • Publication Date: 2012
  • Journal Name: DOCUMENTA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1003-1028
  • Middle East Technical University Affiliated: Yes

Abstract

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.