2008
DOI: 10.3836/tjm/1219844822
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The Addition Law Attached to a Stratification of a Hyperelliptic Jacobian Variety

Abstract: This article shows explicit relation between fractional expressions of Schottky-Klein type for hyperelliptic σ-function and a product of differences of the algebraic coordinates on each stratum of natural stratification in a hyperelliptic Jacobian.1991 Mathematics Subject Classification. Primary 14H05, 14K12; Secondary 14H45, 14H51. Key words and phrases. Schottky-Klein formulae, hyperelliptic sigma functions, a subvariety in a Jacobian.

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