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arXiv · 0807.2044

Towards the generalized Shapiro and Shapiro conjecture

Alex Degtyarev
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Abstract

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).

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Alex Degtyarev. 2008-07-13. Towards the generalized Shapiro and Shapiro conjecture. https://arxiv.org/abs/0807.2044

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