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A Riemann–Hurwitz Theorem for the Algebraic Euler Characteristic

Published online by Cambridge University Press:  20 November 2018

Andrew Fiori
Andrew Fiori*
Affiliation:
Mathematics & Statistics, 612 Campus Place N.W., University of Calgary, 2500 University Drive NW, Calgary, AB, Canada T2N 1N4. e-mail: andrew.fiori@ucalgary.ca
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Abstract

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We prove an analogue of the Riemann–Hurwitz theorem for computing Euler characteristics of pullbacks of coherent sheaves through finite maps of smooth projective varieties in arbitrary dimensions, subject only to the condition that the irreducible components of the branch and ramification locus have simple normal crossings.

Keywords

14F0514C17Riemann-Hurwitzlogarithmic-Chern classEuler characteristic
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 3 , 01 September 2017 , pp. 490 - 509
Copyright
Copyright © Canadian Mathematical Society 2017

References

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