Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties

J. C. Eilbeck, V. Z. Enolski, S. Matsutani, Y. Ônishi, E. Previato

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Using Frobenius-Stickelberger-type relations for hyperelliptic curves (Y. Ônishi, Proc. Edinb. Math. Soc. (2) 48 (2005), 705-742), we provide certain addition formulae for any symmetric power of such curves, which hold on the strata Wk, the pre-images in the Jacobian of the classical Wirtinger varieties. In an appendix, we give similar relations for a trigonal curve y3 = (x - b1)(x - b2)(x - b 3)(x - b4). © Walter de Gruyter Berlin · New York 2008.

Original languageEnglish
Pages (from-to)37-48
Number of pages12
JournalJournal für die reine und angewandte Mathematik
Issue number619
DOIs
Publication statusPublished - Jun 2008

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