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

Access to Document

10.1023/A:1022918717546

Cite this

@article{74056fedc17044418cf152e4043d5744,

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.",

keywords = "addition formula, genus 2 curves, hyperellastic functions",

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

year = "2003",

month = jan,

doi = "10.1023/A:1022918717546",

language = "English",

volume = "63",

pages = "5--17",

journal = "Letters in Mathematical Physics",

issn = "1573-0530",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - On a generalized Frobenius-Stickelberger addition formula

AU - Eilbeck, J. C.

AU - Enolskii, V. Z.

AU - Previato, E.

PY - 2003/1

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 - http://www.scopus.com/inward/record.url?scp=9744232908&partnerID=8YFLogxK

U2 - 10.1023/A:1022918717546

DO - 10.1023/A:1022918717546

M3 - Article

SN - 1573-0530

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

Access to Document

Other files and links

Fingerprint

Cite this