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Virtual Betti numbers of compact locally symmetric spaces

✍ Scribed by T. N. Venkataramana

Book ID
107529091
Publisher
The Hebrew University Magnes Press
Year
2008
Tongue
English
Weight
80 KB
Volume
166
Category
Article
ISSN
0021-2172

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We show that for all i 0 the i-th mod 2 Betti number of compact nonsingular real algebraic varieties has a unique extension to a virtual Betti number Ξ² i defined for all real algebraic varieties, such that if Y is a closed subvariety of X then Ξ² i (X) = Ξ² i (X \ Y ) + Ξ² i (Y ). We show by example th