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arXiv · 0805.0681

The Euler characteristic as a polynomial in the Chern classes

Cristina Bertone
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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.

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Cristina Bertone. 2008-05-06. The Euler characteristic as a polynomial in the Chern classes. https://arxiv.org/abs/0805.0681

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