The Euler characteristic as a polynomial in the Chern classes

Details The Euler characteristic as a polynomial in the Chern classes The Euler characteristic as a polynomial in the Chern classes

2008-05-06

arxiv.org/abs/0805.0681v1

International Journal of Algebra, Vol. 2, 2008, no. 13-16, 757-769.

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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.

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