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arXiv:0807.2044 [math.AG]AbstractReferencesReviewsResources

Towards the generalized Shapiro and Shapiro conjecture

Alex Degtyarev

Published 2008-07-13Version 1

We find a new, asymptotically better, bound $g\le\frac14d^2+O(d)$ 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).

Journal: Perspectives in analysis, geometry, and topology, Progr. Math., 296, Birkh\"auser/Springer, New York, 2012, pp.~67--79
Categories: math.AG
Subjects: 14P25, 14P05
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