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Betti and Picard Numbers of Abstract Algebraic Surfaces

✍ Scribed by Jun-Ichi Igusa


Book ID
123656505
Publisher
National Academy of Sciences
Year
1960
Tongue
English
Weight
167 KB
Volume
46
Category
Article
ISSN
0027-8424

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Virtual Betti numbers of real algebraic
✍ Clint McCrory; Adam ParusiΕ„ski πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 105 KB

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