Abstract:
The survey is devoted to the asymptotics of integrals of the method of descent and to the Hodge structures of critical points of phases of integrals. The problem of how asymptotics change under deformation of phases is discussed.
Citation:
A. N. Varchenko, “Asymptotic behaviors of integrals, and Hodge structures”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 22, VINITI, Moscow, 1983, 130–166; J. Soviet Math., 27:3 (1984), 2760–2784
\Bibitem{Var83}
\by A.~N.~Varchenko
\paper Asymptotic behaviors of integrals, and Hodge structures
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1983
\vol 22
\pages 130--166
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd64}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=735442}
\zmath{https://zbmath.org/?q=an:0554.58002|0543.58008}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 27
\issue 3
\pages 2760--2784
\crossref{https://doi.org/10.1007/BF01084820}
Linking options:
https://www.mathnet.ru/eng/intd64
https://www.mathnet.ru/eng/intd/v22/p130
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