Celik, Turku Ozlum Thomae-Weber formula: algebraic computations of theta constants. (English) Zbl 1496.14029 Int. Math. Res. Not. 2021, No. 23, 17798-17822 (2021). Reviewer: Christophe Ritzenthaler (Rennes) MSC: 14H42 11E04 PDF BibTeX XML Cite \textit{T. O. Celik}, Int. Math. Res. Not. 2021, No. 23, 17798--17822 (2021; Zbl 1496.14029) Full Text: DOI arXiv
Pazuki, Fabien; Widmer, Martin Bertini and Northcott. (English) Zbl 1466.11038 Res. Number Theory 7, No. 1, Paper No. 12, 18 p. (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11G10 11G30 11G50 14G40 14K15 PDF BibTeX XML Cite \textit{F. Pazuki} and \textit{M. Widmer}, Res. Number Theory 7, No. 1, Paper No. 12, 18 p. (2021; Zbl 1466.11038) Full Text: DOI arXiv
Diao, Oumar; Fouotsa, Emmanuel Arithmetic of the level four theta model of elliptic curves. (English) Zbl 1327.14155 Afr. Mat. 26, No. 3-4, 283-301 (2015). Reviewer: Andrea Bandini (Parma) MSC: 14H52 14H42 PDF BibTeX XML Cite \textit{O. Diao} and \textit{E. Fouotsa}, Afr. Mat. 26, No. 3--4, 283--301 (2015; Zbl 1327.14155) Full Text: DOI
Grieve, Nathan Refinements to Mumford’s theta and adelic theta groups. (English) Zbl 1341.14019 Ann. Math. Qué. 38, No. 2, 145-167 (2014). Reviewer: Herbert Lange (Erlangen) MSC: 14K05 14J60 PDF BibTeX XML Cite \textit{N. Grieve}, Ann. Math. Qué. 38, No. 2, 145--167 (2014; Zbl 1341.14019) Full Text: DOI arXiv
Gómez González, E.; González-Martínez, C. Generalized addition formulae for theta functions. (English) Zbl 1122.14035 Muñoz Porras, José M. (ed.) et al., The geometry of Riemann surfaces and abelian varieties. III Iberoamerican congress on geometry in honor of Professor Sevín Recillas-Pishmish’s 60th birthday, Salamanca, Spain, June 8–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3855-5/pbk). Contemporary Mathematics 397, 89-104 (2006). Reviewer: Emma Previato (Boston) MSC: 14K25 14K05 14K02 14F05 PDF BibTeX XML Cite \textit{E. Gómez González} and \textit{C. González-Martínez}, Contemp. Math. 397, 89--104 (2006; Zbl 1122.14035)
Pablos Romo, Fernando Theta groups over extensions of abelian varieties by unipotent groups. (English) Zbl 1065.14057 Mosc. Math. J. 4, No. 2, 503-510 (2004). MSC: 14K05 14K30 14L15 PDF BibTeX XML Cite \textit{F. Pablos Romo}, Mosc. Math. J. 4, No. 2, 503--510 (2004; Zbl 1065.14057)
Khaled, A. On the inverse formula. (English) Zbl 1085.14037 J. Algebra 252, No. 2, 228-240 (2002). Reviewer: Emma Previato (Boston) MSC: 14K05 14K25 15A63 20C20 14B05 14F05 PDF BibTeX XML Cite \textit{A. Khaled}, J. Algebra 252, No. 2, 228--240 (2002; Zbl 1085.14037) Full Text: DOI
Manin, Yuri I. Theta functions, quantum tori and Heisenberg groups. (English) Zbl 1081.14501 Lett. Math. Phys. 56, No. 3, 295-320 (2001). MSC: 14A22 14K25 16S38 16W30 17B37 58B34 PDF BibTeX XML Cite \textit{Y. I. Manin}, Lett. Math. Phys. 56, No. 3, 295--320 (2001; Zbl 1081.14501) Full Text: DOI arXiv
Adler, Allan; Ramanan, S. Moduli of abelian varieties. (English) Zbl 0863.14024 Lecture Notes in Mathematics. 1644. Berlin: Springer. vi, 196 p. (1997). Reviewer: W.Kleinert (Berlin) MSC: 14K10 14K25 14K05 14-02 PDF BibTeX XML Cite \textit{A. Adler} and \textit{S. Ramanan}, Moduli of abelian varieties. Berlin: Springer (1997; Zbl 0863.14024) Full Text: DOI
Kempf, George A note on a theorem of D. Mumford. (English) Zbl 0867.14018 Bol. Soc. Mat. Mex., III. Ser. 2, No. 2, 93-94 (1996). Reviewer: W.Kleinert (Berlin) MSC: 14K05 14L24 14K25 20C99 PDF BibTeX XML Cite \textit{G. Kempf}, Bol. Soc. Mat. Mex., III. Ser. 2, No. 2, 93--94 (1996; Zbl 0867.14018)
Salvati Manni, R. On the differential of applications defined on moduli spaces of p.p.a.v. with level theta structure. (English) Zbl 0856.11023 Math. Z. 221, No. 2, 231-241 (1996). Reviewer: F.W.Knöller (Marburg) MSC: 11F46 14K25 14M05 PDF BibTeX XML Cite \textit{R. Salvati Manni}, Math. Z. 221, No. 2, 231--241 (1996; Zbl 0856.11023) Full Text: DOI EuDML
Szemberg, Tomasz Intersections of quadrics in \(\mathbb P^ 5\), Kummer surfaces and their moduli. (English) Zbl 0876.14025 Nürnberg: Univ. Erlangen-Nürnberg, Naturwiss. Fak. 44 p. (1996). MSC: 14J28 14D20 14N05 PDF BibTeX XML Cite \textit{T. Szemberg}, Intersections of quadrics in \(\mathbb P^ 5\), Kummer surfaces and their moduli. Nürnberg: Univ. Erlangen-Nürnberg, Naturwiss. Fak. (1996; Zbl 0876.14025)
Van Steen, G. Non-archimedean analytic tori and theta functions. (English) Zbl 0843.14020 Indag. Math., New Ser. 5, No. 3, 365-374 (1994). Reviewer: W.Kleinert (Berlin) MSC: 14K25 14G20 14M25 14K20 32P05 PDF BibTeX XML Cite \textit{G. Van Steen}, Indag. Math., New Ser. 5, No. 3, 365--374 (1994; Zbl 0843.14020) Full Text: DOI
Van Steen, G. A basis for the non-archimedean holomorphic theta functions. (English) Zbl 0807.14036 Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 79-83 (1994). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 14K25 14M25 14G20 14H30 14K02 PDF BibTeX XML Cite \textit{G. Van Steen}, Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 79--83 (1994; Zbl 0807.14036) Full Text: EuDML
Van Steen, Guido The isogeny theorem for non-archimedean theta functions. (English) Zbl 0807.14035 Bull. Soc. Math. Belg., Sér. A 45, No. 1-2, 251-259 (1993). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 14K25 14K02 14G20 PDF BibTeX XML Cite \textit{G. Van Steen}, Bull. Soc. Math. Belg., Sér. A 45, No. 1--2, 251--259 (1993; Zbl 0807.14035)
Kempf, George R. Metrics on invertible sheaves on abelian varieties. (English) Zbl 0866.14028 Brambila Paz, L. (ed.) et al., Topics in algebraic geometry. Proceedings of a seminar on algebraic geometry, Guanajuato, Mexico 1989. Mexico City: Sociedad Matemática Mexicana. Aportaciones Mat., Notas Invest. 5, 107-108 (1992). Reviewer: W.Kleinert (Berlin) MSC: 14K20 14F05 PDF BibTeX XML Cite \textit{G. R. Kempf}, Aportaciones Mat., Notas Invest. 5, 107--108 (1992; Zbl 0866.14028)
Lange, Herbert; Birkenhake, Christina Complex abelian varieties. (English) Zbl 0779.14012 Grundlehren der Mathematischen Wissenschaften. 302. Berlin: Springer- Verlag. viii, 435 p. (1992). Reviewer: W.Kleinert (Berlin) MSC: 14K20 14-02 14K25 14K30 14K10 14H40 PDF BibTeX XML Cite \textit{H. Lange} and \textit{C. Birkenhake}, Complex abelian varieties. Berlin: Springer-Verlag (1992; Zbl 0779.14012)
Mumford, David; Nori, Madhav; Norman, Peter Tata lectures on theta. III. (English) Zbl 0744.14033 Progress in Mathematics. 97. Boston, MA etc.: Birkhäuser. vii, 202 p. (1991). Reviewer: Werner Kleinert (Berlin) MSC: 14K25 14-02 14K10 11F27 PDF BibTeX XML Cite \textit{D. Mumford} et al., Tata lectures on theta. III. Boston, MA etc.: Birkhäuser (1991; Zbl 0744.14033)
Birkenhake, Ch.; Lange, H. Symmetric theta-structures. (English) Zbl 0737.14013 Manuscr. Math. 70, No. 1, 67-91 (1990). Reviewer: W.Kleinert (Berlin) MSC: 14K25 14K05 14K20 PDF BibTeX XML Cite \textit{Ch. Birkenhake} and \textit{H. Lange}, Manuscr. Math. 70, No. 1, 67--91 (1990; Zbl 0737.14013) Full Text: DOI EuDML
Faltings, Gerd; Chai, Ching-Li Degeneration of abelian varieties. (English) Zbl 0744.14031 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 22. Berlin etc.: Springer-Verlag. xii, 316 p. (1990). Reviewer: W.Kleinert (Berlin) MSC: 14K10 14-02 14K15 14L15 14D10 14D15 14L05 PDF BibTeX XML Cite \textit{G. Faltings} and \textit{C.-L. Chai}, Degeneration of abelian varieties. Berlin etc.: Springer-Verlag (1990; Zbl 0744.14031)
Manin, Yu. I. Quantized theta-functions. (English) Zbl 0796.14005 Eguchi, T. (ed.) et al., Common trends in mathematics and quantum field theories. 1990 Yukawa international seminar school: Kansai Seminar House, Kyoto, Japan, May 10-16, 1990. Workshop: RIMS, Kyoto University, Japan, May 17-19, 1990. Tokyo: Yukawa Institute for Theoretical Physics, Prog. Theor. Phys., Suppl. 102, 219-228 (1990). Reviewer: W.Kleinert (Berlin) MSC: 14A22 14K25 17B37 81T40 17B67 PDF BibTeX XML Cite \textit{Yu. I. Manin}, Prog. Theor. Phys., Suppl. 102, 219--228 (1990; Zbl 0796.14005)
Norman, Peter p-adic theta functions. (English) Zbl 0587.14028 Am. J. Math. 107, 617-661 (1985). Reviewer: T.Sekiguchi MSC: 14K25 14G20 PDF BibTeX XML Cite \textit{P. Norman}, Am. J. Math. 107, 617--661 (1985; Zbl 0587.14028) Full Text: DOI
Breen, Lawrence Fonctions thêta et théorème du cube. (French) Zbl 0558.14029 Lecture Notes in Mathematics. 980. Berlin-Heidelberg-New York-Tokyo: Springer-Verlag. XIII, 115 p. DM 19.80; $ 8.60 (1983). Reviewer: N.Yui MSC: 14K25 14-02 14L15 PDF BibTeX XML
Zarkhin, Yu. G. On equations defining moduli of abelian varieties with endomorphisms in a totally real field. (English. Russian original) Zbl 0555.14018 Trans. Mosc. Math. Soc. 1982, No. 2, 1-46 (1982); translation from Tr. Mosk. Mat. O.-va 42, 3-49 (1981). Reviewer: A.N.Parshin MSC: 14K10 11R80 14K25 14K15 14K22 PDF BibTeX XML Cite \textit{Yu. G. Zarkhin}, Trans. Mosc. Math. Soc. 1982, No. 2, 1--46 (1982; Zbl 0555.14018); translation from Tr. Mosk. Mat. O.-va 42, 3--49 (1981)
Mumford, D.; Fogarty, J. Geometric invariant theory. 2nd enlarged ed. (English) Zbl 0504.14008 Ergebnisse der Mathematik und ihrer Grenzgebiete. 34. Berlin-Heidelberg-New York: Springer-Verlag. XII, 220 p. DM 74.00; $ 32.90 (1982). MSC: 14L24 14D20 14-02 14K10 14C05 14D22 14H55 14H10 14H40 20G15 14K25 14L30 PDF BibTeX XML
Barsotti, I. Theta functions in positive characteristic. (English) Zbl 0423.14026 Astérisque 63, 5-16 (1979). MSC: 14K25 PDF BibTeX XML Cite \textit{I. Barsotti}, Astérisque 63, 5--16 (1979; Zbl 0423.14026)