Numerical invariants of Fano schemes of linear subspaces on complete   intersections
  The goal of this paper is to explore the genus and degree of the Fano scheme of linear subspaces on a complete intersection in a complex projective space. Firstly, suppose that the expected dimension of the Fano scheme is one, we prove a genus-degree formula. Secondly, we give a degree formula for the Fano scheme. 
Dang Tuan Hiep
math.AG