𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability index of real varieties

✍ Scribed by Claus Scheiderer


Book ID
105174271
Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
1001 KB
Volume
97
Category
Article
ISSN
0020-9910

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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