Monodromy in Integral Geometry and PDE

V. A. Vassiliev
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V. A. Vassiliev: Weizmann Institute of Science

Chapter Chapter 11 in Handbook of Geometry and Topology of Singularities VIII, 2026, pp 491-526 from Springer

Abstract: Abstract Many important functions have integral representations, and their analytic properties (first of all the ramification of analytic continuations) are determined by the monodromy of integration cycles. We demonstrate this approach on two classical problems: the Archimedes’–Newton problem on volumes of plane sections, and the sharpness problem of hyperbolic PDE’s.

Keywords: Monodromy; Vanishing cycle; Volume function; Analytic continuation; Ramification (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-99571-2_11

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DOI: 10.1007/978-3-031-99571-2_11

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