Misra, Aalok MQCD, (“barely”) \(G_2\) manifolds and (orientifold of) a compact Calabi-Yau. (English) Zbl 1067.81109 Int. J. Mod. Phys. A 20, No. 10, 2059-2097 (2005). MSC: 81T30 81V05 PDFBibTeX XMLCite \textit{A. Misra}, Int. J. Mod. Phys. A 20, No. 10, 2059--2097 (2005; Zbl 1067.81109) Full Text: DOI arXiv
Long, Ling On Shioda-Inose structures of one-parameter families of \(K3\) surfaces. (English) Zbl 1100.14520 J. Number Theory 109, No. 2, 299-318 (2004). MSC: 14J28 14J10 11G05 14D05 PDFBibTeX XMLCite \textit{L. Long}, J. Number Theory 109, No. 2, 299--318 (2004; Zbl 1100.14520) Full Text: DOI
Misra, Aalok Type IIA on a compact Calabi-Yau and \(D = 11\) supergravity uplift of its orientifold. (English) Zbl 1062.83088 Fortschr. Phys. 52, No. 9, 831-870 (2004). Reviewer: Dimitrii V. Alekseevsky (Hull) MSC: 83E50 83E30 14J81 14J32 PDFBibTeX XMLCite \textit{A. Misra}, Fortschr. Phys. 52, No. 9, 831--870 (2004; Zbl 1062.83088) Full Text: DOI arXiv
Misra, A. On (orientifold of) type IIA on a compact Calabi-Yau. (English) Zbl 1040.81077 Fortschr. Phys. 52, No. 1, 5-27 (2004). MSC: 81T30 83E30 14J32 14J81 PDFBibTeX XMLCite \textit{A. Misra}, Fortschr. Phys. 52, No. 1, 5--27 (2004; Zbl 1040.81077) Full Text: DOI arXiv
Song, Yan Estimation on the number of zeros of Abelian integrals of a planar Hamiltonian system. (Chinese. English summary) Zbl 1063.34027 J. Math. Res. Expo. 23, No. 4, 651-657 (2003). MSC: 34C08 37G15 PDFBibTeX XMLCite \textit{Y. Song}, J. Math. Res. Expo. 23, No. 4, 651--657 (2003; Zbl 1063.34027)
Golyshev, V. V. The geometricity problem and modularity of certain Riemann-Roch variations. (English. Russian original) Zbl 1170.14300 Dokl. Math. 66, No. 2, 231-236 (2002); translation from Dokl. Akad. Nauk 386, No. 5, 583-588 (2002). MSC: 14D05 34M35 PDFBibTeX XMLCite \textit{V. V. Golyshev}, Dokl. Math. 66, No. 2, 231--236 (2002; Zbl 1170.14300); translation from Dokl. Akad. Nauk 386, No. 5, 583--588 (2002)
Tanabé, Susumu Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral. (Connexion de Gauss-Manin associée à la déformation verselle de la singularité \(A_\mu\) et zéros de l’intégrale hyperelliptique.) (French) Zbl 1064.32023 Bull. Sci. Math. 126, No. 1, 1-29 (2002). Reviewer: Zbigniew Hajto (Kraków) MSC: 32S40 34C08 32G34 34M35 PDFBibTeX XMLCite \textit{S. Tanabé}, Bull. Sci. Math. 126, No. 1, 1--29 (2002; Zbl 1064.32023) Full Text: DOI
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger Actions of the Neumann systems via Picard-Fuchs equations. (English) Zbl 1001.70013 Physica D 155, No. 3-4, 159-183 (2001). MSC: 70H06 37N05 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Physica D 155, No. 3--4, 159--183 (2001; Zbl 1001.70013) Full Text: DOI
Ohta, Yűji Instanton correction of prepotential in Ruijsenaars model associated with \(N=2\) SU(2) Seiberg-Witten theory. (English) Zbl 0972.81180 J. Math. Phys. 41, No. 7, 4541-4550 (2000). MSC: 81T60 81T13 14H70 PDFBibTeX XMLCite \textit{Y. Ohta}, J. Math. Phys. 41, No. 7, 4541--4550 (2000; Zbl 0972.81180) Full Text: DOI arXiv
Harnad, J. Picard-Fuchs equations, Hauptmoduls and integrable systems. (English) Zbl 0973.34075 Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137-151 (2000). Reviewer: V.P.Kostov (Nice) MSC: 34M35 34M55 81T80 45E10 33E17 30F35 PDFBibTeX XMLCite \textit{J. Harnad}, in: Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137--151 (2000; Zbl 0973.34075) Full Text: arXiv
Sommervoll, Dag Einar Rational curves on a complete intersection Calabi-Yau variety in \({\mathbb{P}}^3\times{\mathbb{P}}^3\). (English) Zbl 1030.14016 Pac. J. Math. 192, No. 2, 415-430 (2000). MSC: 14J32 14N10 14J81 14M20 14M10 PDFBibTeX XMLCite \textit{D. E. Sommervoll}, Pac. J. Math. 192, No. 2, 415--430 (2000; Zbl 1030.14016) Full Text: DOI
Ohta, Yűji Picard-Fuchs ordinary differential systems in \(N=2\) supersymmetric Yang-Mills theories. (English) Zbl 0986.81101 J. Math. Phys. 40, No. 6, 3211-3226 (1999). MSC: 81T60 34C60 81V05 81T13 PDFBibTeX XMLCite \textit{Y. Ohta}, J. Math. Phys. 40, No. 6, 3211--3226 (1999; Zbl 0986.81101) Full Text: DOI arXiv
Zhao, Yulin; Zhang, Zhifen An estimate of the number of zeros of Abelian integrals for cubic vector fields with cuspidal loop. (English) Zbl 0967.34027 Ann. Differ. Equations 14, No. 2, 434-445 (1998). MSC: 34C08 14K20 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Z. Zhang}, Ann. Differ. Equations 14, No. 2, 434--445 (1998; Zbl 0967.34027)
Veech, William A. Geometric realizations of hyperelliptic curves. II. (English) Zbl 0952.30037 Dani, S. G. (ed.), Lie groups and ergodic theory. Proceedings of the international colloquium, Mumbai, India, January 4-12, 1996. New Delhi: Narosa Publishing House. Stud. Math., Tata Inst. Fundam. Res. 14, 345-365 (1998). Reviewer: A.V.Chernecky (Odessa) MSC: 30F10 14H52 14H15 PDFBibTeX XMLCite \textit{W. A. Veech}, in: Lie groups and ergodic theory. Proceedings of the international colloquium, Mumbai, India, January 4--12, 1996. New Delhi: Narosa Publishing House; Bombay: Tata Institute of Fundamental Research. 345--365 (1998; Zbl 0952.30037)
Bini, Gilberto; De Concini, Corrado; Polito, Marzia; Procesi, Claudio On the work of Givental’ relative to mirror symmetry. (English) Zbl 0944.14016 Appunti dei Corsi Tenuti da Docenti della Scuola. Pisa: Scuola Normale Superiore, ii, 90 p. (1998). Reviewer: G.Zet (Iaşi) MSC: 14J32 32Q25 14N10 81T70 14N35 PDFBibTeX XMLCite \textit{G. Bini} et al., On the work of Givental' relative to mirror symmetry. Pisa: Scuola Normale Superiore (1998; Zbl 0944.14016) Full Text: arXiv
Horozov, Emil; Iliev, Iliya D. Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. (English) Zbl 0921.58044 Nonlinearity 11, No. 6, 1521-1537 (1998). Reviewer: E.Ershov (St.Peterburg) MSC: 37G15 37J20 37K50 34C05 PDFBibTeX XMLCite \textit{E. Horozov} and \textit{I. D. Iliev}, Nonlinearity 11, No. 6, 1521--1537 (1998; Zbl 0921.58044) Full Text: DOI
Kulikov, Valentine S. Mixed Hodge structures and singularities. (English) Zbl 0902.14005 Cambridge Tracts in Mathematics. 132. Cambridge: Cambridge University Press. xxi, 186 p. (1998). Reviewer: W.Kleinert (Berlin) MSC: 14B05 14D07 14C30 32S35 14J17 32-02 14-02 32S05 32S25 PDFBibTeX XMLCite \textit{V. S. Kulikov}, Mixed Hodge structures and singularities. Cambridge: Cambridge University Press (1998; Zbl 0902.14005)
Ito, Katsushi; Sasakura, Naoki Exact and microscopic one-instanton calculations in \(N=2\) supersymmetric Yang-Mills theories. (English) Zbl 0925.81371 Nucl. Phys., B 484, No. 1-2, 141-166 (1997). MSC: 81T60 81T13 PDFBibTeX XMLCite \textit{K. Ito} and \textit{N. Sasakura}, Nucl. Phys., B 484, No. 1--2, 141--166 (1997; Zbl 0925.81371) Full Text: DOI arXiv
Zhang, Zhifen; Li, Chengzhi On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. (English) Zbl 0948.34020 Adv. Math., Beijing 26, No. 5, 445-460 (1997). Reviewer: Dmitry Turaev (Berlin) MSC: 34C07 37G15 34C23 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{C. Li}, Adv. Math., Beijing 26, No. 5, 445--460 (1997; Zbl 0948.34020)
Richter, O.; Klein, C. Algebro-geometric approach to the Ernst equation. I: Mathematical preliminaries. (English) Zbl 0888.35123 Chruściel, Piotr T. (ed.), Mathematics of gravitation. Part I: Lorentzian geometry and Einstein equations. Proceedings of the workshop on mathematical aspects of theories of gravitation, Warsaw, Poland, February 29–March 30, 1996. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 41(1), 195-204 (1997). Reviewer: E.D.Belokolos (Kyïv) MSC: 35Q75 83C20 83C55 PDFBibTeX XMLCite \textit{O. Richter} and \textit{C. Klein}, Banach Cent. Publ. 41, 195--204 (1997; Zbl 0888.35123)
Ohta, Yüji Lappo-Danilevsky hyperlogarithm and period of the Calabi-Yau manifold. (English) Zbl 0869.32012 Int. J. Theor. Phys. 36, No. 1, 47-54 (1997). MSC: 32G20 14J32 PDFBibTeX XMLCite \textit{Y. Ohta}, Int. J. Theor. Phys. 36, No. 1, 47--54 (1997; Zbl 0869.32012) Full Text: DOI
Bertin, José; Demailly, Jean-Pierre; Illusie, Luc; Peters, Chris Introduction to Hodge theory. (Introduction à la théorie de Hodge.) (French. English summary) Zbl 0849.14002 Panoramas et Synthèses. 3. Paris: Société Mathématique de France. vi, 272 p. (1996). Reviewer: W.Kleinert (Berlin) MSC: 14C30 14F17 14-02 14D07 13A35 58A14 14D05 81T30 14J32 PDFBibTeX XMLCite \textit{J. Bertin} et al., Introduction à la théorie de Hodge. Paris: Société Mathématique de France (1996; Zbl 0849.14002)
Novick-Cohen, A.; Zheng, Songmu The Penrose-Fife-type equations: Counting the one-dimensional stationary solutions. (English) Zbl 0857.35055 Proc. R. Soc. Edinb., Sect. A 126, No. 3, 483-504 (1996). MSC: 35K50 35K55 PDFBibTeX XMLCite \textit{A. Novick-Cohen} and \textit{S. Zheng}, Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 3, 483--504 (1996; Zbl 0857.35055) Full Text: DOI
Smit, Dirk-J.; de Hoop, Maarten V. The geometry of the hyperbolic system for an anisotropic perfectly elastic medium. (English) Zbl 0819.73006 Commun. Math. Phys. 167, No. 2, 255-300 (1995). Reviewer: D.Iesan (Iaşi) MSC: 74E10 74J99 35L67 35A08 PDFBibTeX XMLCite \textit{D.-J. Smit} and \textit{M. V. de Hoop}, Commun. Math. Phys. 167, No. 2, 255--300 (1995; Zbl 0819.73006) Full Text: DOI
van Gils, S. A. An inhomogeneous Picard-Fuchs equation. (English) Zbl 0810.58033 Chossat, Pascal (ed.), Dynamics, bifurcation and symmetry. New trends and new tools. Proceedings of the NATO Advanced Research Workshop, E. B. T. G. Conference, Cargèse, France, September 3-9, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333-341 (1994). Reviewer: Z.Denkowska (Angers) MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{S. A. van Gils}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333--341 (1994; Zbl 0810.58033)
Batyrev, Victor V. Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties. (English) Zbl 0829.14023 J. Algebr. Geom. 3, No. 3, 493-535 (1994). Reviewer: K.Altmann (Berlin) MSC: 14M25 14J30 52B70 PDFBibTeX XMLCite \textit{V. V. Batyrev}, J. Algebr. Geom. 3, No. 3, 493--535 (1994; Zbl 0829.14023) Full Text: arXiv
Smit, Dirk-J.; de Hoop, Maarten V. The geometry of elastic waves propagating in an anisotropic elastic medium. (English) Zbl 0798.73014 Helminck, G. F. (ed.), Geometric and quantum aspects of integrable systems. Proceedings of the eighth Scheveningen conference, Scheveningen, The Netherlands, August 16-21, 1992. Berlin: Springer-Verlag. Lect. Notes Phys. 424, 131-166 (1993). Reviewer: L.Debnath (Orlando) MSC: 74J10 74E10 35B40 PDFBibTeX XMLCite \textit{D.-J. Smit} and \textit{M. V. de Hoop}, Lect. Notes Phys. 424, 131--166 (1993; Zbl 0798.73014)
Libgober, A.; Teitelbaum, J. Lines on Calabi-Yau complete intersections, mirror symmetry, and Picard- Fuchs equations. (English) Zbl 0789.14005 Int. Math. Res. Not. 1993, No. 1, 29-39 (1993). Reviewer: F.Campana (Vandœuvre-les-Nancy) MSC: 14D05 14M10 14J35 PDFBibTeX XMLCite \textit{A. Libgober} and \textit{J. Teitelbaum}, Int. Math. Res. Not. 1993, No. 1, 29--39 (1993; Zbl 0789.14005) Full Text: DOI arXiv
Lee, Min Ho On the monotonicity of the quotient of certain abelian integrals. (English) Zbl 0777.34026 Int. J. Math. Math. Sci. 16, No. 1, 41-48 (1993). Reviewer: J.Schmeelk (Richmond) MSC: 34C11 34A34 14H52 14J25 PDFBibTeX XMLCite \textit{M. H. Lee}, Int. J. Math. Math. Sci. 16, No. 1, 41--48 (1993; Zbl 0777.34026) Full Text: DOI EuDML
Morrison, David R. Picard-Fuchs equations and mirror maps for hypersurfaces. (English) Zbl 0841.32013 Yau, Shing-Tung (ed.), Essays on mirror manifolds. Cambridge, MA: International Press. 241-264 (1992). Reviewer: R.A.Hidalgo (Valparaiso) MSC: 32G20 14D05 14J10 PDFBibTeX XMLCite \textit{D. R. Morrison}, in: Essays on mirror manifolds. Cambridge, MA: International Press. 241--264 (1992; Zbl 0841.32013) Full Text: arXiv
Min Ho Lee Picard-Fuchs equations for elliptic modular varieties. (English) Zbl 0780.14005 Appl. Math. Lett. 4, No. 5, 91-95 (1991). Reviewer: Min Ho Lee (Cedar-Falls) MSC: 14D05 14G35 14H52 PDFBibTeX XMLCite \textit{Min Ho Lee}, Appl. Math. Lett. 4, No. 5, 91--95 (1991; Zbl 0780.14005) Full Text: DOI
Matveev, V. B.; Smirnov, A. O. Some comments on the solvable chiral Potts model. (English) Zbl 0715.14024 Lett. Math. Phys. 19, No. 3, 179-185 (1990). Reviewer: A.Bobenko MSC: 14H42 32G20 14D05 82B20 14K25 PDFBibTeX XMLCite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, Lett. Math. Phys. 19, No. 3, 179--185 (1990; Zbl 0715.14024) Full Text: DOI
Peters, C.; Stienstra, J. A pencil of K3-surfaces related to Apéry’s recurrence for \(\zeta\) (3) and Fermi surfaces for potential zero. (English) Zbl 0701.14037 Arithmetic of complex manifolds, Proc. Conf., Erlangen/FRG 1988, Lect. Notes Math. 1399, 110-127 (1989). Reviewer: P.Philippon MSC: 14J10 11J81 14D05 78A30 PDFBibTeX XML
Chow, Shiu-Nee; Li, Chengzhi; Wang, Duo A simple proof of the uniqueness of periodic orbits in the 1:3 resonance problem. (English) Zbl 0691.58028 Proc. Am. Math. Soc. 105, No. 4, 1025-1032 (1989). Reviewer: K.Chang MSC: 37G99 34C05 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., Proc. Am. Math. Soc. 105, No. 4, 1025--1032 (1989; Zbl 0691.58028) Full Text: DOI
Wang, Duo The critical points of the period function of \(x''-x^ 2(x-\alpha)(x- 1)=0(0\leq \alpha <1)\). (English) Zbl 0641.34029 Nonlinear Anal., Theory Methods Appl. 11, 1029-1050 (1987). Reviewer: Duo Wang MSC: 34C05 PDFBibTeX XMLCite \textit{D. Wang}, Nonlinear Anal., Theory Methods Appl. 11, 1029--1050 (1987; Zbl 0641.34029) Full Text: DOI
Beukers, F. Another congruence for the Apéry numbers. (English) Zbl 0614.10011 J. Number Theory 25, 201-210 (1987). Reviewer: A.J.van der Poorten MSC: 11B37 11F33 11A07 14J30 11F11 PDFBibTeX XMLCite \textit{F. Beukers}, J. Number Theory 25, 201--210 (1987; Zbl 0614.10011) Full Text: DOI
van der Marel, B. On the Tate-matrix. (English) Zbl 0639.14014 p-adic analysis, Proc. Conf., Houthalen/Belg. 1986, 173-179 (1986). Reviewer: F.Herrlich MSC: 14G20 14H10 14H05 14L05 33C60 PDFBibTeX XML
Sanders, Jan A.; Cushman, Richard Limit cycles in the Josephson equation. (English) Zbl 0604.58041 SIAM J. Math. Anal. 17, 495-511 (1986). Reviewer: J.Kalas MSC: 37G15 34C29 37G99 34C05 PDFBibTeX XMLCite \textit{J. A. Sanders} and \textit{R. Cushman}, SIAM J. Math. Anal. 17, 495--511 (1986; Zbl 0604.58041) Full Text: DOI
Chow, S.-N.; Sanders, J. A. On the number of critical points of the period. (English) Zbl 0594.34028 J. Differ. Equations 64, 51-66 (1986). MSC: 34C05 PDFBibTeX XMLCite \textit{S. N. Chow} and \textit{J. A. Sanders}, J. Differ. Equations 64, 51--66 (1986; Zbl 0594.34028) Full Text: DOI
Françoise, Jean-Pierre Sur les action-angles de la toupie de Kowalevski. (The action-angles of the Kowalevski top). (French) Zbl 0588.58024 C. R. Acad. Sci., Paris, Sér. I 300, 427-430 (1985). Reviewer: W.M.Oliva MSC: 37J99 PDFBibTeX XMLCite \textit{J.-P. Françoise}, C. R. Acad. Sci., Paris, Sér. I 300, 427--430 (1985; Zbl 0588.58024)
Cushman, R.; Sanders, J. A. A codimension two bifurcation with a third order Picard-Fuchs equation. (English) Zbl 0571.34021 J. Differ. Equations 59, 243-256 (1985). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{R. Cushman} and \textit{J. A. Sanders}, J. Differ. Equations 59, 243--256 (1985; Zbl 0571.34021) Full Text: DOI
Sanders, J. A.; Cushman, R. Abelian integrals and global Hopf bifurcations. (English) Zbl 0559.34028 Dynamical systems and bifurcations, Proc. Workshop, Groningen/Neth. 1984, Lect. Notes Math. 1125, 87-98 (1985). MSC: 34C05 PDFBibTeX XML
Stienstra, Jan; Beukers, Frits On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. (English) Zbl 0539.14006 Math. Ann. 271, 269-304 (1985). Reviewer: Frits Beukers MSC: 14D05 14L05 14J25 14F30 14G10 11G35 PDFBibTeX XMLCite \textit{J. Stienstra} and \textit{F. Beukers}, Math. Ann. 271, 269--304 (1985; Zbl 0539.14006) Full Text: DOI EuDML
Petrov, G. S. Number of zeros of complete elliptic integrals. (English) Zbl 0567.14006 Funct. Anal. Appl. 18, 148-149 (1984). MSC: 14D05 32G20 33E05 PDFBibTeX XMLCite \textit{G. S. Petrov}, Funct. Anal. Appl. 18, 148--149 (1984; Zbl 0567.14006) Full Text: DOI
Beukers, F. Arithmetical properties of Picard-Fuchs equations. (English) Zbl 0549.10003 Sémin. Théor. Nombres, Paris 1982–83, Prog. Math. 51, 33-38 (1984). Reviewer: Frits Beukers MSC: 11F11 14D05 11G35 PDFBibTeX XML
Petrov, G. S. On the number of zeroes of complete elliptic integrals. (Russian) Zbl 0547.14003 Funkts. Anal. Prilozh. 18, No. 2, 73-74 (1984). Reviewer: D.Bertrand MSC: 14D05 33E05 32G20 PDFBibTeX XMLCite \textit{G. S. Petrov}, Funkts. Anal. Prilozh. 18, No. 2, 73--74 (1984; Zbl 0547.14003)
Beukers, F.; Peters, C. A. M. A family of \(K3\) surfaces and \(\zeta(3)\). (English) Zbl 0541.14007 J. Reine Angew. Math. 351, 42-54 (1984). Reviewer: Francesco Baldassarri (Padova) MSC: 14D05 14J25 11J81 11M06 14H25 PDFBibTeX XMLCite \textit{F. Beukers} and \textit{C. A. M. Peters}, J. Reine Angew. Math. 351, 42--54 (1984; Zbl 0541.14007) Full Text: DOI EuDML