Degtyarev, AlexItenberg, I.Jöricke, B.Passare, M.2018-04-122018-04-12201297808176827670743-1643http://hdl.handle.net/11693/38343Conference Name: A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology, 2008Date of Conference: 19-25 May 2008We obtain a new, asymptotically better, bound g ≤ 1/4 d2 on the genus of a curve that may violate the generalized total reality conjecture. The bound covers all known cases except g = 0 (the original conjecture).EnglishAlexandermoduleDiscriminant formReal varietyShapiro and shapiro conjectureConference Paper10.1007/978-0-8176-8277-4_410.1007/978-0-8176-8277-49780817682774