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arXiv · 1707.08490

Expected number and distribution of critical points of real Lefschetz pencils

Michele Ancona
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Abstract

We give an asymptotic probabilistic real Riemann-Hurwitz formula computing the expected real ramification index of a random covering over the Riemann sphere. More generally, we study the asymptotic expected number and distribution of critical points of a random real Lefschetz pencil over a smooth real algebraic variety.

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Michele Ancona. 2017-07-26. Expected number and distribution of critical points of real Lefschetz pencils. https://arxiv.org/abs/1707.08490

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