On Gunning’s Prime Form in Genus 2
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 89-96

Voir la notice de l'article provenant de la source Cambridge University Press

Using a classical generalization of Jacobi’s derivative formula, we give an explicit expression for Gunning’s prime form in genus 2 in terms of theta functions and their derivatives.
DOI : 10.4153/CMB-2002-010-7
Mots-clés : 14K25, 30F10
Grant, David. On Gunning’s Prime Form in Genus 2. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 89-96. doi: 10.4153/CMB-2002-010-7
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[C] [C] Coogan, G., A generalization of Jacobi's derivative formula. Ph.D. Thesis, University of Colorado at Boulder, 1999. Google Scholar

[F] [F] Fay, J., Theta Functions on Riemann surfaces. LectureNotes inMath. 353, Springer-Verlag, Berlin, 1973. Google Scholar

[Gr] [Gr] Grant, D., A generalization of Jacobi's derivative formula to dimension two. J. Reine Angew.Math. 392 (1988), 125–136. Google Scholar

[Gu1] [Gu1] Gunning, R. C., Riemann Surfaces and Generalized Theta Functions. Springer-Verlag, Berlin, 1976. Google Scholar

[Gu2] [Gu2] Gunning, R. C., On generalized theta functions. Amer. J.Math. (1) 104 (1982), 183–208. Google Scholar

[Gu3] [Gu3] Gunning, R. C., Some identities for abelian integrals. Amer. J.Math. 108 (1986), 39–74. Google Scholar

[Gu4] [Gu4] Gunning, R. C., Analytic identities for theta functions. Proc. Symp. Pure Math. (1) 49 (1989), 503–515. Google Scholar

[Gu5] [Gu5] Gunning, R. C., Notes from a course given at PrincetonUniversity. 1987–88. Google Scholar

[I] [I] Igusa, J.-I., On Jacobi's Derivative Formula and its generalizations. Amer. J.Math. (2) 102 (1980), 409–446. Google Scholar

[M] [M] Mumford, D., Tata Lectures on Theta, I, II. Prog. in. Math. 28, 43, Birkhauser, Boston, 1983, 1984. Google Scholar

[P] [P] Poor, C., The hyperelliptic locus. Duke Math. J. (3) 76 (1994), 809–884. Google Scholar

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