On a generalized Frobenius-Stickelberger addition formula

J. C. Eilbeck; V. Z. Enolskii; E. Previato

doi:10.1023/A:1022918717546

On a generalized Frobenius-Stickelberger addition formula

J. C. Eilbeck
, V. Z. Enolskii
, E. Previato

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

In this Letter we obtain a generalization of the Frobenius-Stickelberger addition formula for the (hyperelliptic) s-function of a genus 2 curve in the case of three vector-valued variables. The result is given explicitly in the form of a polynomial in Kleinian P-functions.

Original language	English
Pages (from-to)	5-17
Number of pages	13
Journal	Letters in Mathematical Physics
Volume	63
Issue number	1
DOIs	https://doi.org/10.1023/A:1022918717546
Publication status	Published - Jan 2003

Keywords

addition formula
genus 2 curves
hyperellastic functions

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title = "On a generalized Frobenius-Stickelberger addition formula",

abstract = "In this Letter we obtain a generalization of the Frobenius-Stickelberger addition formula for the (hyperelliptic) s-function of a genus 2 curve in the case of three vector-valued variables. The result is given explicitly in the form of a polynomial in Kleinian P-functions.",

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author = "Eilbeck, \{J. C.\} and Enolskii, \{V. Z.\} and E. Previato",

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AU - Eilbeck, J. C.

AU - Enolskii, V. Z.

AU - Previato, E.

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Y1 - 2003/1

N2 - In this Letter we obtain a generalization of the Frobenius-Stickelberger addition formula for the (hyperelliptic) s-function of a genus 2 curve in the case of three vector-valued variables. The result is given explicitly in the form of a polynomial in Kleinian P-functions.

AB - In this Letter we obtain a generalization of the Frobenius-Stickelberger addition formula for the (hyperelliptic) s-function of a genus 2 curve in the case of three vector-valued variables. The result is given explicitly in the form of a polynomial in Kleinian P-functions.

KW - addition formula

KW - genus 2 curves

KW - hyperellastic functions

UR - https://www.scopus.com/pages/publications/9744232908

U2 - 10.1023/A:1022918717546

DO - 10.1023/A:1022918717546

M3 - Article

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VL - 63

SP - 5

EP - 17

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1

ER -

On a generalized Frobenius-Stickelberger addition formula

Abstract

Keywords

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