The Euler characteristic as a polynomial in the Chern classes
Algebraic Geometry
2009-01-17 v1 Combinatorics
Abstract
In this paper we obtain some explicit expressions for the Euler characteristic of a rank n coherent sheaf F on P^N and of its twists F(t) as polynomials in the Chern classes c_i(F), also giving algorithms for the computation. The employed methods use techniques of umbral calculus involving symmetric functions and Stirling numbers.
Cite
@article{arxiv.0805.0681,
title = {The Euler characteristic as a polynomial in the Chern classes},
author = {Cristina Bertone},
journal= {arXiv preprint arXiv:0805.0681},
year = {2009}
}
Comments
12 pages