Exceptional hereditary curves and real curve orbifolds

Igor Burban

Abstract


In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also establish a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing.

Keywords


non-commutative curves, hereditary algebras and orders, equivariant coherent sheaves, Klein surfaces, tilting theory

Full Text:

PDF


DOI: http://dx.doi.org/10.12958/adm2365

Refbacks

  • There are currently no refbacks.