Browsing by Subject "Real variety"

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    Toward a generalized shapiro and shapiro conjecture
    (Springer, 2012) Degtyarev, Alex; Itenberg, I.; Jöricke, B.; Passare, M.
    We 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).