Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N. Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. (English) Zbl 1297.32001 Modern Birkhäuser Classics. Boston, MA: Birkhäuser (ISBN 978-0-8176-8342-9/pbk; 978-0-8176-8343-6/ebook). x, 492 p. (2012). Reviewer: Mihai-Marius Tibar (Lille) MSC: 32-02 58-02 32Sxx 58Kxx PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi. Reprint of the 1988 hardback edition. Boston, MA: Birkhäuser (2012; Zbl 1297.32001) Full Text: DOI
Khesin, Boris; Tabachnikov, Serge; Smale, Steve; Sevryuk, Mikhail; Khovanskii, Askold; Varchenko, Alexander; Berry, Michael Khesin, Boris (ed.); Tabachnikov, Serge (ed.) Tribute to Vladimir Arnold. (English) Zbl 1241.01033 Notices Am. Math. Soc. 59, No. 3, 378-399 (2012). Reviewer: Reinhard Siegmund-Schultze (Kristiansand) MSC: 01A70 01A60 37-03 37J40 PDFBibTeX XMLCite \textit{B. Khesin} et al., Notices Am. Math. Soc. 59, No. 3, 378--399 (2012; Zbl 1241.01033) Full Text: DOI
Khovanskij, A. (ed.); Varchenko, A. (ed.); Vassiliev, V. (ed.) Topics in singularity theory. V. I. Arnold’s 60th anniversary collection. (English) Zbl 0870.00037 Translations. Series 2. American Mathematical Society (AMS). Advances in the Mathematical Sciences. 180(34). Providence, RI: American Mathematical Society (AMS). xiii, 255 p. (1997). MSC: 00B25 58-06 PDFBibTeX XMLCite \textit{A. Khovanskij} (ed.) et al., Topics in singularity theory. V. I. Arnold's 60th anniversary collection. Providence, RI: American Mathematical Society (1997; Zbl 0870.00037)
Blok, B.; Varchenko, A. Topological conformal field theories and the flat coordinates. (English) Zbl 0802.53034 Int. J. Mod. Phys. A 7, No. 7, 1467-1490 (1992). MSC: 53Z05 81T40 83E30 PDFBibTeX XMLCite \textit{B. Blok} and \textit{A. Varchenko}, Int. J. Mod. Phys. A 7, No. 7, 1467--1490 (1992; Zbl 0802.53034) Full Text: DOI
Varchenko, A. N. Mappings of periods connected with a versal deformation of a critical point of a function and the discriminant. (Russian) Zbl 0757.32014 Operator theory in function spaces, Rev. Lect. 13th All-Union Sch., Kujbyshev/USSR 1988, 5-15 (1989). Reviewer: D.Motreanu (Iaşi) MSC: 32S30 32S55 32G20 57R45 58C25 58K99 58C10 PDFBibTeX XML
Varchenko, A. N. The period map and the discriminant. (English. Russian original) Zbl 0684.14001 Math. USSR, Sb. 62, No. 1, 65-81 (1989); translation from Mat. Sb., Nov. Ser. 134(176), No. 1(9), 66-81 (1987). Reviewer: J.Scherk MSC: 14B07 32S05 58C25 58K99 32G20 14J17 14H20 PDFBibTeX XMLCite \textit{A. N. Varchenko}, Math. USSR, Sb. 62, No. 1, 65--81 (1989; Zbl 0684.14001); translation from Mat. Sb., Nov. Ser. 134(176), No. 1(9), 66--81 (1987) Full Text: DOI
Varchenko, A. N. Period maps connected with a versal deformation of a critical point of a function and the discriminant. (English. Russian original) Zbl 0783.32016 Transl., Ser. 2, Am. Math. Soc. 153, 1-9 (1992); translation from Operator theory in function spaces, Rev. Lect. 13th All-Union Sch., Kujbyshev/USSR 1988, 5-15 (1989). MSC: 32S30 32S55 32G20 57R45 58C25 58K99 58C10 PDFBibTeX XMLCite \textit{A. N. Varchenko}, in: Transl., Ser. 2, Am. Math. Soc. 153, 1-9 (1992; Zbl 0783.32016); translation from Operator theory in function spaces, Rev. Lect. 13th All-Union Sch., Kujbyshev/USSR 1988, . 5--15 (1989); translation from Operator theory in function spaces, Rev. Lect. 13th All-Union Sch., Kujbyshev/USSR 1988, 5--15 (1989)
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N. [Porteous, Hugh] Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. (English) Zbl 0659.58002 Monographs in Mathematics, 83. Boston, MA etc.: Birkhäuser Verlag. viii, 492 p. DM 238.00 (1988). Reviewer: A.Dimca MSC: 58-02 58C25 58K99 58C35 58A10 32Sxx 32A99 PDFBibTeX XMLCite \textit{V. I. Arnol'd} et al., Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Boston, MA etc.: Birkhäuser Verlag (1988; Zbl 0659.58002) Backlinks: MO
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N. Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. (English) Zbl 0554.58001 Monographs in Mathematics, Vol. 82. Boston-Basel-Stuttgart: Birkhäuser. X, 382 p. DM 118.00 (1985). Reviewer: M.Craioveanu MSC: 58-02 57R45 58C25 58K99 37J99 37G99 PDFBibTeX XML
Varchenko, A. N.; Gusejn-Zade, S. M. The topology of caustics, wave fronts, and degeneracies of critical points. (English. Russian original) Zbl 0554.58012 Russ. Math. Surv. 39, No. 2, 209-210 (1984); translation from Usp. Mat. Nauk 39, No. 2(236), 141-142 (1984). MSC: 58C25 58K99 37G99 PDFBibTeX XMLCite \textit{A. N. Varchenko} and \textit{S. M. Gusejn-Zade}, Russ. Math. Surv. 39, No. 2, 209--210 (1984; Zbl 0554.58012); translation from Usp. Mat. Nauk 39, No. 2(236), 141--142 (1984) Full Text: DOI
Varchenko, A. N. Asymptotic integrals and Hodge structures. (English) Zbl 0554.58002 J. Sov. Math. 27, 2760-2784 (1984). MSC: 58A14 58C25 58K99 57R45 57R70 PDFBibTeX XMLCite \textit{A. N. Varchenko}, J. Sov. Math. 27, 2760--2784 (1984; Zbl 0554.58002) Full Text: DOI
Varchenko, A. N. Asymptotics of integrals and Hodge structures. (Russian) Zbl 0543.58008 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 22, 130-166 (1983). Reviewer: D.Motreanu MSC: 58A14 58C25 58K99 57R70 57R45 PDFBibTeX XML
Arnol’d, V. I.; Varchenko, A. N.; Gusejn-Zade, S. M. Singularities of differentiable mappings. Classification of critical points, caustics and wave fronts. (Osobennosti differentsiruemykh otobrazhenij. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov). (Russian) Zbl 0513.58001 Moskva: “Nauka” Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 304 p. R. 2.00 (1982). MSC: 58-02 58C25 58K99 37G99 57R45 37J99 17B20 37Cxx PDFBibTeX XML