@article{JEMS_2010_12_2_a10, author = {Saugata Basu and Dmitrii V. Pasechnik and Marie-Fran\c{c}oise Roy}, title = {Bounding the {Betti} numbers and computing the {Euler{\textendash}Poincar\'e} characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials}, journal = {Journal of the European Mathematical Society}, pages = {529--553}, publisher = {mathdoc}, volume = {12}, number = {2}, year = {2010}, doi = {10.4171/jems/208}, url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/208/} }