We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms.
@article{urn:eudml:doc:44454, title = {About the Euler-Poincar\'e characteristic of semi-algebraic sets defined with two inequalities.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {14}, year = {2001}, pages = {45-82}, zbl = {1042.14505}, mrnumber = {MR1851722}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44454} }
Dutertre, Nicolas. About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 45-82. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44454/