Global Sections of Line Bundles on a Wonderful Compactification of the General Linear Group

@inproceedings{KAUSZ2004GlobalSO,
  title={Global Sections of Line Bundles on a Wonderful Compactification of the General Linear Group},
  author={IVAN KAUSZ},
  year={2004}
}
  • IVAN KAUSZ
  • Published 2004
Let k be a field of characteristic zero and let E and F be two n-dimensional vector spaces. In [K1] we have introduced a certain compactification KGl(E, F ) of the variety Isom(E, F ) ∼= Gln of linear isomorphisms from E to F which in many respects is analogous to De Concinis and Procesis so called wonderful compactification of adjoint semi-simple algebraic groups (cf. [CP]). In particular, there is a natural action of the group G := Gl(E) × Gl(F ) on KGl(E, F ) extending the one arising from… CONTINUE READING