Sign lemma for dimension shifting

Details Sign lemma for dimension shifting Sign lemma for dimension shifting

2007-06-15

arxiv.org/abs/0706.2250v1

Mathematics

Algebraic Geometry

7 pages, LaTeX

Scientific paper

There is a surprising occurrence of some minus signs in the isomorphisms produced in the well-known technique of dimension shifting in calculating derived functors in homological algebra. We explicitly determine these signs. Getting these signs right is important in order to avoid basic contradictions. We illustrate the lemma by some de Rham cohomology and Chern class considerations for compact Riemann surfaces.

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