Chekhov, Leonid; Mazzocco, Marta; Rubtsov, Vladimir Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras. (English) Zbl 07282544 Adv. Math. 376, Article ID 107442, 53 p. (2021). MSC: 14A22 32G34 37J65 53D55 17B63 20C08 PDF BibTeX XML Cite \textit{L. Chekhov} et al., Adv. Math. 376, Article ID 107442, 53 p. (2021; Zbl 07282544) Full Text: DOI arXiv Link OpenURL
Conlon, Ronan J.; Degeratu, Anda; Rochon, Frédéric Quasi-asymptotically conical Calabi-Yau manifolds. (English) Zbl 1412.53102 Geom. Topol. 23, No. 1, 29-100 (2019). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C55 58J05 PDF BibTeX XML Cite \textit{R. J. Conlon} et al., Geom. Topol. 23, No. 1, 29--100 (2019; Zbl 1412.53102) Full Text: DOI arXiv OpenURL
Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton Lower bounds for Lyapunov exponents of flat bundles on curves. (English) Zbl 1386.37036 Geom. Topol. 22, No. 4, 2299-2338 (2018). MSC: 37D40 37D25 32G15 14J32 32Q25 30F60 PDF BibTeX XML Cite \textit{A. Eskin} et al., Geom. Topol. 22, No. 4, 2299--2338 (2018; Zbl 1386.37036) Full Text: DOI arXiv OpenURL
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen Geometric flows and Strominger systems. (English) Zbl 1407.32011 Math. Z. 288, No. 1-2, 101-113 (2018). Reviewer: Andrea Spiro (Camerino) MSC: 32Q25 53C44 53C56 PDF BibTeX XML Cite \textit{D. H. Phong} et al., Math. Z. 288, No. 1--2, 101--113 (2018; Zbl 1407.32011) Full Text: DOI arXiv OpenURL
Collins, Tristan C.; Székelyhidi, Gábor Convergence of the \(J\)-flow on toric manifolds. (English) Zbl 1392.53072 J. Differ. Geom. 107, No. 1, 47-81 (2017). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C44 53C55 32Q25 PDF BibTeX XML Cite \textit{T. C. Collins} and \textit{G. Székelyhidi}, J. Differ. Geom. 107, No. 1, 47--81 (2017; Zbl 1392.53072) Full Text: DOI arXiv Euclid OpenURL
Székelyhidi, Gábor; Tosatti, Valentino; Weinkove, Ben Gauduchon metrics with prescribed volume form. (English) Zbl 1396.32010 Acta Math. 219, No. 1, 181-211 (2017). Reviewer: Daniele Angella (Firenze) MSC: 32J27 53C55 32Q25 32W20 35J60 58J05 PDF BibTeX XML Cite \textit{G. Székelyhidi} et al., Acta Math. 219, No. 1, 181--211 (2017; Zbl 1396.32010) Full Text: DOI arXiv OpenURL
Dinew, Sławomir; Kołodziej, Sławomir Liouville and Calabi-Yau type theorems for complex Hessian equations. (English) Zbl 1372.32027 Am. J. Math. 139, No. 2, 403-415 (2017). Reviewer: Eleutherius Symeonidis (Bucureşti) MSC: 32J27 32Q25 32Q15 32U05 32W50 PDF BibTeX XML Cite \textit{S. Dinew} and \textit{S. Kołodziej}, Am. J. Math. 139, No. 2, 403--415 (2017; Zbl 1372.32027) Full Text: DOI arXiv OpenURL
Chu, Jianchun \(C^{2,\alpha}\) regularities and estimates for nonlinear elliptic and parabolic equations in geometry. (English) Zbl 1336.32034 Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 8, 20 p. (2016). MSC: 32W50 32W20 32Q60 PDF BibTeX XML Cite \textit{J. Chu}, Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 8, 20 p. (2016; Zbl 1336.32034) Full Text: DOI arXiv OpenURL
Popovici, Dan Aeppli cohomology classes associated with Gauduchon metrics on compact complex manifolds. (Classes de cohomologie d’Aeppli associées à des métriques de Gauduchon sur les variétés complexes compactes.) (English. French summary) Zbl 1347.53060 Bull. Soc. Math. Fr. 143, No. 4, 763-800 (2015). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C55 32Q25 32G05 14C30 PDF BibTeX XML Cite \textit{D. Popovici}, Bull. Soc. Math. Fr. 143, No. 4, 763--800 (2015; Zbl 1347.53060) Full Text: DOI arXiv Link OpenURL
Tosatti, Valentino; Zhang, Yuguang Infinite-time singularities of the Kähler-Ricci flow. (English) Zbl 1328.53089 Geom. Topol. 19, No. 5, 2925-2948 (2015). MSC: 53C44 53C55 58J35 PDF BibTeX XML Cite \textit{V. Tosatti} and \textit{Y. Zhang}, Geom. Topol. 19, No. 5, 2925--2948 (2015; Zbl 1328.53089) Full Text: DOI arXiv OpenURL
Hofmann, Jörg; van Straten, Duco Some monodromy groups of finite index in \(\mathrm{Sp}_4(\mathbb{Z})\). (English) Zbl 1320.14014 J. Aust. Math. Soc. 99, No. 1, 48-62 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 11F06 14J32 PDF BibTeX XML Cite \textit{J. Hofmann} and \textit{D. van Straten}, J. Aust. Math. Soc. 99, No. 1, 48--62 (2015; Zbl 1320.14014) Full Text: DOI arXiv OpenURL
Nikdelan, Younes Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds. (English) Zbl 1349.53097 Qual. Theory Dyn. Syst. 14, No. 1, 71-100 (2015). MSC: 53C55 14J15 14J32 32G20 14C30 14D07 34M45 37F75 PDF BibTeX XML Cite \textit{Y. Nikdelan}, Qual. Theory Dyn. Syst. 14, No. 1, 71--100 (2015; Zbl 1349.53097) Full Text: DOI arXiv OpenURL
Gährs, Swantje Picard-Fuchs equations of special one-parameter families of invertible polynomials. (English) Zbl 1302.14034 Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 285-310 (2013). MSC: 14J33 32G20 32S40 34M35 14J32 PDF BibTeX XML Cite \textit{S. Gährs}, Fields Inst. Commun. 67, 285--310 (2013; Zbl 1302.14034) Full Text: DOI arXiv OpenURL
Doran, Charles F.; Gannon, Terry; Movasati, Hossein; Shokri, Khosro M. Automorphic forms for triangle groups. (English) Zbl 1295.11050 Commun. Number Theory Phys. 7, No. 4, 689-737 (2013). MSC: 11F55 14J32 PDF BibTeX XML Cite \textit{C. F. Doran} et al., Commun. Number Theory Phys. 7, No. 4, 689--737 (2013; Zbl 1295.11050) Full Text: DOI arXiv OpenURL
Campana, Frédéric; Guenancia, Henri; Păun, Mihai Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields. (Métriques à singularités coniques le long de diviseurs à croisements normaux et champs de tenseurs holomorphes.) (English. French summary) Zbl 1310.32029 Ann. Sci. Éc. Norm. Supér. (4) 46, No. 6, 879-916 (2013). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32Q25 32Q15 53C55 PDF BibTeX XML Cite \textit{F. Campana} et al., Ann. Sci. Éc. Norm. Supér. (4) 46, No. 6, 879--916 (2013; Zbl 1310.32029) Full Text: DOI arXiv Numdam Link OpenURL
Garbagnati, Alice New families of Calabi-Yau threefolds without maximal unipotent monodromy. (English) Zbl 1260.14047 Manuscr. Math. 140, No. 3-4, 273-294 (2013). Reviewer: Noriko Yui (Kingston) MSC: 14J32 14J28 14J33 14D05 14D07 14J10 14J50 PDF BibTeX XML Cite \textit{A. Garbagnati}, Manuscr. Math. 140, No. 3--4, 273--294 (2013; Zbl 1260.14047) Full Text: DOI arXiv OpenURL
Fu, Jixiang; Wang, Zhizhang; Wu, Damin Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics. (English) Zbl 1267.32021 J. Eur. Math. Soc. (JEMS) 15, No. 2, 659-680 (2013). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32Q25 53C55 14J30 PDF BibTeX XML Cite \textit{J. Fu} et al., J. Eur. Math. Soc. (JEMS) 15, No. 2, 659--680 (2013; Zbl 1267.32021) Full Text: DOI arXiv OpenURL
Fu, Jixiang Specific non-Kähler Hermitian metrics on compact complex manifolds. (English) Zbl 1320.53088 Dong, Yuxin (ed.) et al., Recent developments in geometry and analysis. Special volume dedicated to Zhengguo Bai on the occasion of his 95th birthday and to Yibing Shen on the occasion of his 70th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-250-3/pbk). Advanced Lectures in Mathematics (ALM) 23, 79-90 (2012). MSC: 53C55 32Q25 PDF BibTeX XML Cite \textit{J. Fu}, Adv. Lect. Math. (ALM) 23, 79--90 (2012; Zbl 1320.53088) OpenURL
Kanazawa, Atsushi Pfaffian Calabi-Yau threefolds and mirror symmetry. (English) Zbl 1274.14047 Commun. Number Theory Phys. 6, No. 3, 661-696 (2012). Reviewer: Noriko Yui (Kingston) MSC: 14J32 14J33 PDF BibTeX XML Cite \textit{A. Kanazawa}, Commun. Number Theory Phys. 6, No. 3, 661--696 (2012; Zbl 1274.14047) Full Text: DOI arXiv OpenURL
Boukraa, S.; Hassani, S.; Maillard, J.-M. Holonomic functions of several complex variables and singularities of anisotropic Ising \(n\)-fold integrals. (English) Zbl 1257.82017 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012). MSC: 82B20 34M55 47E05 32G34 14J32 35Q82 14K30 82B26 PDF BibTeX XML Cite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012; Zbl 1257.82017) Full Text: DOI arXiv OpenURL
Goto, Ryushi Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities. (English) Zbl 1262.53041 J. Math. Soc. Japan 64, No. 3, 1005-1052 (2012). Reviewer: Qilin Yang (Guangzhou) MSC: 53C25 53C55 32Q25 PDF BibTeX XML Cite \textit{R. Goto}, J. Math. Soc. Japan 64, No. 3, 1005--1052 (2012; Zbl 1262.53041) Full Text: DOI arXiv Euclid OpenURL
Guedj, Vincent (ed.) Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes. (English) Zbl 1251.32001 Lecture Notes in Mathematics 2038. Berlin: Springer (ISBN 978-3-642-23668-6/pbk; 978-3-642-23669-3/ebook). viii, 310 p. (2012). Reviewer: Benoît Claudon (Vandœuvre-lés-Nancy) MSC: 32-02 32-06 32W20 32U05 32Q15 32Q20 32Q25 53-02 53-06 53C55 58E11 PDF BibTeX XML Cite \textit{V. Guedj} (ed.), Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes. Berlin: Springer (2012; Zbl 1251.32001) Full Text: DOI OpenURL
Shokri, Khosro Monsef The Zinger deformation of differential equations with maximal unipotent monodromy. (English) Zbl 1296.53009 Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). vi, 114 p. (2011). MSC: 53-02 53D45 32Q25 PDF BibTeX XML Cite \textit{K. M. Shokri}, The Zinger deformation of differential equations with maximal unipotent monodromy. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2011; Zbl 1296.53009) Full Text: Link OpenURL
Tosatti, Valentino; Weinkove, Ben The Calabi-Yau equation, symplectic forms and almost complex structures. (English) Zbl 1268.53079 Ji, Lizhen (ed.), Geometry and analysis, No. 1. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-224-4/pbk). Advanced Lectures in Mathematics (ALM) 17, 475-493 (2011). MSC: 53C55 53D05 32Q60 PDF BibTeX XML Cite \textit{V. Tosatti} and \textit{B. Weinkove}, Adv. Lect. Math. (ALM) 17, 475--493 (2011; Zbl 1268.53079) Full Text: arXiv OpenURL
Donaldson, Simon; Segal, Ed Gauge theory in higher dimensions. II. (English) Zbl 1256.53038 Leung, Naichung Conan (ed.) et al., Geometry of special holonomy and related topics. Somerville, MA: International Press (ISBN 978-1-57146-211-4/hbk). Surveys in Differential Geometry 16, 1-41 (2011). Reviewer: Witold Mozgawa (Lublin) MSC: 53C29 81T13 58D27 53C07 PDF BibTeX XML Cite \textit{S. Donaldson} and \textit{E. Segal}, Surv. Differ. Geom. 16, 1--41 (2011; Zbl 1256.53038) Full Text: arXiv OpenURL
Buzano, E.; Fino, A.; Vezzoni, L. The Calabi-Yau equation for T\(^2\)-bundles over T\(^2\): the non-Lagrangian case. (English) Zbl 1247.53085 Rend. Semin. Mat., Univ. Politec. Torino 69, No. 3, 18 p. (2011). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 32Q25 32Q60 53C21 58J05 PDF BibTeX XML Cite \textit{E. Buzano} et al., Rend. Semin. Mat., Univ. Politec. Torino 69, No. 3, 18 p. (2011; Zbl 1247.53085) Full Text: arXiv Link OpenURL
Zudilin, V. V. Arithmetic hypergeometric series. (English. Russian original) Zbl 1225.33008 Russ. Math. Surv. 66, No. 2, 369-420 (2011); translation from Usp. Mat. Nauk 66, No. 2, 163-216 (2011). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 11J82 11M06 11Y60 33C75 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Russ. Math. Surv. 66, No. 2, 369--420 (2011; Zbl 1225.33008); translation from Usp. Mat. Nauk 66, No. 2, 163--216 (2011) Full Text: DOI OpenURL
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. (English) Zbl 1223.33007 Proc. Edinb. Math. Soc., II. Ser. 54, No. 2, 273-295 (2011). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C20 34M35 05A10 05A19 14D05 14J32 32Q25 32S40 PDF BibTeX XML Cite \textit{G. Almkvist} et al., Proc. Edinb. Math. Soc., II. Ser. 54, No. 2, 273--295 (2011; Zbl 1223.33007) Full Text: DOI OpenURL
Wang, Hongyu; Zhu, Peng On a generalized Calabi-Yau equation. (English) Zbl 1228.53090 Ann. Inst. Fourier 60, No. 5, 1595-1615 (2010). Reviewer: Umberto Leone Hryniewicz (Rio de Janeiro) MSC: 53D05 58J99 53C55 PDF BibTeX XML Cite \textit{H. Wang} and \textit{P. Zhu}, Ann. Inst. Fourier 60, No. 5, 1595--1615 (2010; Zbl 1228.53090) Full Text: DOI arXiv Numdam EuDML Link OpenURL
Tosatti, Valentino; Weinkove, Ben Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds. (English) Zbl 1208.32034 Asian J. Math. 14, No. 1, 19-40 (2010). Reviewer: Emil J. Straube (College Station) MSC: 32W20 53C55 32Q25 PDF BibTeX XML Cite \textit{V. Tosatti} and \textit{B. Weinkove}, Asian J. Math. 14, No. 1, 19--40 (2010; Zbl 1208.32034) Full Text: DOI arXiv Euclid OpenURL
Joyce, Dominic Special Lagrangian 3-folds and integrable systems. (English) Zbl 1167.53046 Guest, Martin (ed.) et al., Surveys on geometry and integrable systems. Based on the conference on integrable systems in differential geometry, Tokyo, Japan, July 17–21, 2000. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-46-4/hbk). Advanced Studies in Pure Mathematics 51, 189-233 (2008). Reviewer: Eugen Pascu (Montréal) MSC: 53C38 53C12 53C21 53C43 14J32 58J99 PDF BibTeX XML Cite \textit{D. Joyce}, Adv. Stud. Pure Math. 51, 189--233 (2008; Zbl 1167.53046) Full Text: arXiv OpenURL
Samol, Kira; van Straten, Duco Frobenius polynomial for Calabi-Yau equations. (English) Zbl 1166.14026 Commun. Number Theory Phys. 2, No. 3, 537-561 (2008). Reviewer: Noriko Yui (Kingston) MSC: 14J32 PDF BibTeX XML Cite \textit{K. Samol} and \textit{D. van Straten}, Commun. Number Theory Phys. 2, No. 3, 537--561 (2008; Zbl 1166.14026) Full Text: DOI arXiv OpenURL
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim Apéry limits of differential equations of order 4 and 5. (English) Zbl 1159.14019 Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 105-123 (2008). Reviewer: Noriko Yui (Kingston) MSC: 14J32 11Y60 14D05 PDF BibTeX XML Cite \textit{G. Almkvist} et al., Fields Inst. Commun. 54, 105--123 (2008; Zbl 1159.14019) OpenURL
Golyshev, Vasily; Stienstra, Jan Fuchsian equations of type DN. (English) Zbl 1158.34055 Commun. Number Theory Phys. 1, No. 2, 323-346 (2007). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 16S32 14J32 14D05 14N35 PDF BibTeX XML Cite \textit{V. Golyshev} and \textit{J. Stienstra}, Commun. Number Theory Phys. 1, No. 2, 323--346 (2007; Zbl 1158.34055) Full Text: DOI arXiv OpenURL
Weinkove, Ben The Calabi-Yau equation on almost-Kähler four-manifolds. (English) Zbl 1123.32015 J. Differ. Geom. 76, No. 2, 317-349 (2007). Reviewer: Vehbi Emrah Paksoy (Claremont) MSC: 32Q25 53C55 32Q60 PDF BibTeX XML Cite \textit{B. Weinkove}, J. Differ. Geom. 76, No. 2, 317--349 (2007; Zbl 1123.32015) Full Text: DOI arXiv OpenURL
Almkvist, Gert; Zudilin, Wadim Differential equations, mirror maps and zeta values. (English) Zbl 1118.14043 Yui, Noriko (ed.) et al., Mirror symmetry V. Proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry, December 6–11, 2003. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 0-8218-4251-X/pbk). AMS/IP Studies in Advanced Mathematics 38, 481-515 (2006). Reviewer: Noriko Yui (Kingston) MSC: 14J32 11M06 11B83 32S40 33C20 34M15 34M25 PDF BibTeX XML Cite \textit{G. Almkvist} and \textit{W. Zudilin}, AMS/IP Stud. Adv. Math. 38, 481--515 (2006; Zbl 1118.14043) Full Text: arXiv OpenURL
Lian, Bong H.; Yau, Shing-Tung The \(n\)th root of the mirror map. (English) Zbl 1048.11049 Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 195-199 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G25 34M15 12H25 14J32 32Q25 33C20 PDF BibTeX XML Cite \textit{B. H. Lian} and \textit{S.-T. Yau}, Fields Inst. Commun. 38, 195--199 (2003; Zbl 1048.11049) OpenURL
Zudilin, V. V. On the integrality of power expansions related to hypergeometric series. (English. Russian original) Zbl 1043.11060 Math. Notes 71, No. 5, 604-616 (2002); translation from Mat. Zametki 71, No. 5, 662-676 (2002). Reviewer: Tanguy Rivoal (Caen) MSC: 11J91 14J32 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Math. Notes 71, No. 5, 604--616 (2002; Zbl 1043.11060); translation from Mat. Zametki 71, No. 5, 662--676 (2002) Full Text: DOI OpenURL
Ketov, Sergei V. Quantum geometry of the universal hypermultiplet. (English) Zbl 1011.81053 Fortschr. Phys. 50, No. 8-9, 909-915 (2002). MSC: 81T30 81T60 58D27 PDF BibTeX XML Cite \textit{S. V. Ketov}, Fortschr. Phys. 50, No. 8--9, 909--915 (2002; Zbl 1011.81053) Full Text: DOI arXiv OpenURL
Bourguignon, Jean Pierre Eugenio Calabi and Kähler metrics. (English) Zbl 0911.53002 de Bartolomeis, Paolo (ed.) et al., Manifolds and geometry. Proceedings of a conference, held in Pisa, Italy, September 1993. Cambridge: Cambridge University Press. Symp. Math. 36, 61-85 (1996). Reviewer: S.Dimiev (Sofia) MSC: 53-02 01A70 53C55 53-03 14C30 32C18 32J27 58E15 81T13 81T30 PDF BibTeX XML Cite \textit{J. P. Bourguignon}, in: Manifolds and geometry. Proceedings of a conference, held in Pisa, Italy, September 1993. Cambridge: Cambridge University Press. 61--85 (1996; Zbl 0911.53002) OpenURL