Fano 3-folds in codimension 4

29 May 2012
Gavin Brown
I show how to construct some Fano 3-folds that have the same Hilbert series but different Betti numbers, and so lie on different components of the Hilbert scheme. I would like to show where these fit in to a speculative (indeed fantastical) geography of Fano 3-folds, and how the projection methods I use may apply to other questions in the geography.
  • Algebraic and Symplectic Geometry Seminar