Degtyarev, AlexItenberg, IliaKharlamov, ViatcheslaItenberg, I.Jöricke, B.Passare, M.2018-04-122018-04-12201297808176827670743-1643http://hdl.handle.net/11693/38344Conference Name: A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology, 2008Date of Conference: 19-25 May 2008Our main results concern complete intersections of three real quadrics. We prove that the maximal number B0 2 (N) of connected components that a regular complete intersection of three real quadrics in ℙN may have differs at most by one from the maximal number of ovals of the submaximal depth [(N −1)/2] of a real plane projective curve of degree d = N +1. As a consequence, we obtain a lower bound 1/4 N2 +O(N) and an upper bound 3/8 N2+O(N) for B0 2 (N). © Springer Science+Business Media, LLC 2012.EnglishBetti numberComplete intersectionQuadricTheta characteristicConference Paper10.1007/978-0-8176-8277-4_510.1007/978-0-8176-8277-49780817682774