Dettweiler, Michael; Reiter, Stefan On the Hodge theory of the additive middle convolution. (English) Zbl 1441.14040 Publ. Res. Inst. Math. Sci. 56, No. 3, 503-537 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D07 32G20 32S40 34M99 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Reiter}, Publ. Res. Inst. Math. Sci. 56, No. 3, 503--537 (2020; Zbl 1441.14040) Full Text: DOI
Haraoka, Yoshishige Multiplicative middle convolution for KZ equations. (English) Zbl 1436.32097 Math. Z. 294, No. 3-4, 1787-1839 (2020). MSC: 32S40 32S22 34M35 33C70 81T40 PDF BibTeX XML Cite \textit{Y. Haraoka}, Math. Z. 294, No. 3--4, 1787--1839 (2020; Zbl 1436.32097) Full Text: DOI
Konnai, Shotaro Connection coefficients and monodromy representations for a class of Okubo systems of ordinary differential equations. (English) Zbl 1429.34088 Funkc. Ekvacioj, Ser. Int. 61, No. 2, 145-190 (2018). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M35 34M40 PDF BibTeX XML Cite \textit{S. Konnai}, Funkc. Ekvacioj, Ser. Int. 61, No. 2, 145--190 (2018; Zbl 1429.34088) Full Text: DOI arXiv
Oshima, Toshio Semilocal monodromy of rigid local systems. (English) Zbl 1402.34091 Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 189-199 (2018). MSC: 34M35 34M03 PDF BibTeX XML Cite \textit{T. Oshima}, in: Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4--8, 2017. Selected, revised contributions. Cham: Springer. 189--199 (2018; Zbl 1402.34091) Full Text: DOI
Dettweiler, Michael; Sabbah, Claude Erratum to: “Hodge theory of the middle convolution”. (English) Zbl 1408.14036 Publ. Res. Inst. Math. Sci. 54, No. 2, 427-431 (2018). MSC: 14D07 32G20 32S40 34M99 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{C. Sabbah}, Publ. Res. Inst. Math. Sci. 54, No. 2, 427--431 (2018; Zbl 1408.14036) Full Text: DOI
Oshima, Toshio Reducibility of hypergeometric equations. (English) Zbl 1404.34101 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 429-453 (2017). MSC: 34M03 34A30 34M35 33C65 PDF BibTeX XML Cite \textit{T. Oshima}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 429--453 (2017; Zbl 1404.34101) Full Text: DOI
Haraoka, Yoshishige Holonomic systems. (English) Zbl 1408.34069 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer. Trends Math., 59-87 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 PDF BibTeX XML Cite \textit{Y. Haraoka}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 59--87 (2017; Zbl 1408.34069) Full Text: DOI
Oshima, Toshio Transformations of KZ type equations. (English) Zbl 1370.33017 RIMS Kôkyûroku Bessatsu B61, 141-161 (2017). MSC: 33C70 58A17 PDF BibTeX XML Cite \textit{T. Oshima}, RIMS Kôkyûroku Bessatsu B61, 141--161 (2017; Zbl 1370.33017)
Bibilo, Yulia; Filipuk, Galina Constructive solutions to the Riemann-Hilbert problem and middle convolution. (English) Zbl 1373.34131 J. Dyn. Control Syst. 23, No. 1, 55-70 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M50 32G13 34M03 34M35 PDF BibTeX XML Cite \textit{Y. Bibilo} and \textit{G. Filipuk}, J. Dyn. Control Syst. 23, No. 1, 55--70 (2017; Zbl 1373.34131) Full Text: DOI
Hiroe, Kazuki Linear differential equations on the Riemann sphere and representations of quivers. (English) Zbl 1368.16018 Duke Math. J. 166, No. 5, 855-935 (2017). Reviewer: Dmitry Artamonov (Moskva) MSC: 16G20 34M25 34M56 PDF BibTeX XML Cite \textit{K. Hiroe}, Duke Math. J. 166, No. 5, 855--935 (2017; Zbl 1368.16018) Full Text: DOI Euclid arXiv
Moteki, Takahiro; Takei, Yoshitsugu Stokes geometry of higher order linear ordinary differential equations and middle convolution. (English) Zbl 1365.34149 Adv. Math. 310, 327-376 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M60 34M03 34M40 34M30 PDF BibTeX XML Cite \textit{T. Moteki} and \textit{Y. Takei}, Adv. Math. 310, 327--376 (2017; Zbl 1365.34149) Full Text: DOI
Yamakawa, Daisuke Fourier-Laplace transform and isomonodromic deformations. (English) Zbl 1369.34109 Funkc. Ekvacioj, Ser. Int. 59, No. 3, 315-349 (2016). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M56 32S40 PDF BibTeX XML Cite \textit{D. Yamakawa}, Funkc. Ekvacioj, Ser. Int. 59, No. 3, 315--349 (2016; Zbl 1369.34109) Full Text: DOI Link arXiv
Da Silva, Genival jun.; Kerr, Matt; Pearlstein, Gregory Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution. (English) Zbl 1375.14044 Can. J. Math. 68, No. 2, 280-308 (2016). MSC: 14D07 14M17 32G20 32M10 17B45 PDF BibTeX XML Cite \textit{G. Da Silva jun.} et al., Can. J. Math. 68, No. 2, 280--308 (2016; Zbl 1375.14044) Full Text: DOI
Bibilo, Yulia; Filipuk, Galina Middle convolution and non-Schlesinger deformations. (English) Zbl 1327.34148 Proc. Japan Acad., Ser. A 91, No. 5, 66-69 (2015). MSC: 34M56 44A15 PDF BibTeX XML Cite \textit{Y. Bibilo} and \textit{G. Filipuk}, Proc. Japan Acad., Ser. A 91, No. 5, 66--69 (2015; Zbl 1327.34148) Full Text: DOI arXiv
Oshima, Toshio Katz’s middle convolution and Yokoyama’s extending operation. (English) Zbl 1326.34133 Opusc. Math. 35, No. 5, 665-688 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M15 PDF BibTeX XML Cite \textit{T. Oshima}, Opusc. Math. 35, No. 5, 665--688 (2015; Zbl 1326.34133) Full Text: DOI arXiv
Bibilo, Yulia; Filipuk, Galina Non-Schlesinger isomonodromic deformations of Fuchsian systems and middle convolution. (English) Zbl 1318.34121 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 023, 14 p. (2015). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M56 44A15 12H05 PDF BibTeX XML Cite \textit{Y. Bibilo} and \textit{G. Filipuk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 023, 14 p. (2015; Zbl 1318.34121) Full Text: DOI EMIS arXiv
Iwaki, Kohei; Koike, Tatsuya On the computation of Voros coefficients via middle convolutions. (English) Zbl 1329.34141 RIMS Kôkyûroku Bessatsu B52, 55-70 (2014). MSC: 34M60 34M30 34E20 34M03 PDF BibTeX XML Cite \textit{K. Iwaki} and \textit{T. Koike}, RIMS Kôkyûroku Bessatsu B52, 55--70 (2014; Zbl 1329.34141)
Dettweiler, Michael; Reiter, Stefan The classification of orthogonally rigid \(G_{2}\)-local systems and related differential operators. (English) Zbl 1312.32015 Trans. Am. Math. Soc. 366, No. 11, 5821-5851 (2014). Reviewer: Gwyn Bellamy (Glasgow) MSC: 32S40 20G41 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Reiter}, Trans. Am. Math. Soc. 366, No. 11, 5821--5851 (2014; Zbl 1312.32015) Full Text: DOI arXiv
Haraoka, Yoshishige Prolongability of ordinary differential equations. (English) Zbl 1420.32009 J. Nonlinear Math. Phys. 20, No. Suppl. 1, 70-84 (2013). MSC: 32G34 58A17 PDF BibTeX XML Cite \textit{Y. Haraoka}, J. Nonlinear Math. Phys. 20, No. Suppl. 1, 70--84 (2013; Zbl 1420.32009) Full Text: DOI
Oshima, Toshio Classification of Fuchsian systems and their connection problem. (English) Zbl 1307.34134 RIMS Kôkyûroku Bessatsu B37, 163-192 (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M15 PDF BibTeX XML Cite \textit{T. Oshima}, RIMS Kôkyûroku Bessatsu B37, 163--192 (2013; Zbl 1307.34134) Full Text: arXiv
Dettweiler, Michael; Sabbah, Claude Hodge theory of the middle convolution. (English) Zbl 1307.14015 Publ. Res. Inst. Math. Sci. 49, No. 4, 761-800 (2013); erratum ibid. 54, No. 2, 427-431 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D07 32G20 32S40 34M99 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{C. Sabbah}, Publ. Res. Inst. Math. Sci. 49, No. 4, 761--800 (2013; Zbl 1307.14015) Full Text: DOI arXiv
Takemura, Kouichi Euler’s integral transformation for systems of linear differential equations with irregular singularities. (English) Zbl 1281.34131 Balser, Werner (ed.) et al., Formal and analytic solutions of differential and difference equations. Proceedings of the conference, Bȩdlewo, Poland, August 8–13, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-16-4/pbk). Banach Center Publications 97, 141-152 (2012). Reviewer: Galina Filipuk (Warszawa) MSC: 34M03 34M35 34M25 PDF BibTeX XML Cite \textit{K. Takemura}, Banach Cent. Publ. 97, 141--152 (2012; Zbl 1281.34131) Full Text: DOI
Oshima, Toshio Fractional calculus of Weyl algebra and Fuchsian differential equations. (English) Zbl 1269.34003 MSJ Memoirs 28. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-016-7/pbk). xix, 203 p. (2012). Reviewer: Shun Shimomura (Yokohama) MSC: 34-02 34M35 34A05 34A25 34C20 34M40 34M50 PDF BibTeX XML Cite \textit{T. Oshima}, Fractional calculus of Weyl algebra and Fuchsian differential equations. Tokyo: Mathematical Society of Japan (2012; Zbl 1269.34003) Full Text: DOI Link arXiv
Takemura, Kouichi Introduction to middle convolution for differential equations with irregular singularities. (English) Zbl 1220.34110 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 393-420 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M03 PDF BibTeX XML Cite \textit{K. Takemura}, in: New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27--31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific. 393--420 (2011; Zbl 1220.34110) Full Text: arXiv
Yamakawa, Daisuke Quiver varieties with multiplicities, Weyl groups of non-symmetric Kac-Moody algebras, and Painlevé equations. (English) Zbl 1218.53088 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 087, 43 p. (2010). MSC: 53D30 16G20 20F55 34M55 PDF BibTeX XML Cite \textit{D. Yamakawa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 087, 43 p. (2010; Zbl 1218.53088) Full Text: DOI EuDML arXiv
Kawakami, Hiroshi Generalized Okubo systems and the middle convolution. (English) Zbl 1207.34119 Int. Math. Res. Not. 2010, No. 17, 3394-3421 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 PDF BibTeX XML Cite \textit{H. Kawakami}, Int. Math. Res. Not. 2010, No. 17, 3394--3421 (2010; Zbl 1207.34119) Full Text: DOI
Arinkin, D. Rigid irregular connections on \(\mathbb P^{1}\). (English) Zbl 1200.14035 Compos. Math. 146, No. 5, 1323-1338 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 34M35 PDF BibTeX XML Cite \textit{D. Arinkin}, Compos. Math. 146, No. 5, 1323--1338 (2010; Zbl 1200.14035) Full Text: DOI arXiv
Dettweiler, Michael; Reiter, Stefan On globally nilpotent differential equations. (English) Zbl 1202.34151 J. Differ. Equations 248, No. 11, 2736-2745 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M15 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Reiter}, J. Differ. Equations 248, No. 11, 2736--2745 (2010; Zbl 1202.34151) Full Text: DOI arXiv
Simpson, Carlos Katz’s middle convolution algorithm. (English) Zbl 1176.14002 Pure Appl. Math. Q. 5, No. 2, 781-852 (2009). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F40 15A24 14D05 PDF BibTeX XML Cite \textit{C. Simpson}, Pure Appl. Math. Q. 5, No. 2, 781--852 (2009; Zbl 1176.14002) Full Text: DOI arXiv
Takemura, Kouichi Middle convolution and Heun’s equation. (English) Zbl 1170.34060 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 040, 22 p. (2009). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M35 33E10 34M55 PDF BibTeX XML Cite \textit{K. Takemura}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 040, 22 p. (2009; Zbl 1170.34060) Full Text: DOI EuDML arXiv
Filipuk, G. V. A hypergeometric system of the Heun equation and middle convolution. (English) Zbl 1189.34164 J. Phys. A, Math. Theor. 42, No. 17, Article ID 175208, 11 p. (2009). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 34M03 34M56 PDF BibTeX XML Cite \textit{G. V. Filipuk}, J. Phys. A, Math. Theor. 42, No. 17, Article ID 175208, 11 p. (2009; Zbl 1189.34164) Full Text: DOI
Dettweiler, Michael; Reiter, Stefan Middle convolution of Fuchsian systems and the construction of rigid differential systems. (English) Zbl 1183.34137 J. Algebra 318, No. 1, 1-24 (2007). MSC: 34M50 14F05 34M15 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Reiter}, J. Algebra 318, No. 1, 1--24 (2007; Zbl 1183.34137) Full Text: DOI
Dettweiler, Michael; Reiter, Stefan Painlevé equations and the middle convolution. (English) Zbl 1134.34057 Adv. Geom. 7, No. 3, 317-330 (2007). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 34A26 34M15 33E17 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Reiter}, Adv. Geom. 7, No. 3, 317--330 (2007; Zbl 1134.34057) Full Text: DOI arXiv
Dettweiler, Michael; Wewers, Stefan Variation of local systems and parabolic cohomology. (English) Zbl 1131.14016 Isr. J. Math. 156, 157-185 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 12F12 14F43 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Wewers}, Isr. J. Math. 156, 157--185 (2006; Zbl 1131.14016) Full Text: DOI arXiv
Filipuk, Galina On the middle convolution and birational symmetries of the sixth Painlevé equation. (English) Zbl 1105.34060 Kumamoto J. Math. 19, 15-23 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 34M25 PDF BibTeX XML Cite \textit{G. Filipuk}, Kumamoto J. Math. 19, 15--23 (2006; Zbl 1105.34060)
Dettweiler, Michael Plane curve complements and curves on Hurwitz spaces. (English) Zbl 1074.14026 J. Reine Angew. Math. 573, 19-43 (2004). Reviewer: Hiroaki Nakamura (Okayama) MSC: 14H30 12F12 14J10 14E20 PDF BibTeX XML Cite \textit{M. Dettweiler}, J. Reine Angew. Math. 573, 19--43 (2004; Zbl 1074.14026) Full Text: DOI
Völklein, Helmut The braid group and linear rigidity. (English) Zbl 0990.20021 Geom. Dedicata 84, No. 1-3, 135-150 (2001). Reviewer: Jörg Winkelmann (Seoul) MSC: 20F36 12F12 PDF BibTeX XML Cite \textit{H. Völklein}, Geom. Dedicata 84, No. 1--3, 135--150 (2001; Zbl 0990.20021) Full Text: DOI
Völklein, Helmut A transformation principle for covers of \(\mathbb P^1\). (English) Zbl 1003.14007 J. Reine Angew. Math. 534, 155-168 (2001). Reviewer: Michael Dettweiler (Heidelberg) MSC: 14H30 20F36 18F20 PDF BibTeX XML Cite \textit{H. Völklein}, J. Reine Angew. Math. 534, 155--168 (2001; Zbl 1003.14007) Full Text: DOI