TY - JOUR
T1 - Sigma, tau and Abelian functions of algebraic curves
AU - Eilbeck, J.C.
AU - Enolski, V.Z.
AU - Gibbons, J.
PY - 2010/11/12
Y1 - 2010/11/12
N2 - We compare and contrast three different methods for the construction of the differential relations satisfied by the fundamental Abelian functions associated with an algebraic curve. We realize these Abelian functions as logarithmic derivatives of the associated sigma function. In two of the methods, the use of the tau function, expressed in terms of the sigma function, is central to the construction of differential relations between the Abelian functions.
AB - We compare and contrast three different methods for the construction of the differential relations satisfied by the fundamental Abelian functions associated with an algebraic curve. We realize these Abelian functions as logarithmic derivatives of the associated sigma function. In two of the methods, the use of the tau function, expressed in terms of the sigma function, is central to the construction of differential relations between the Abelian functions.
UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-78649645420&md5=c64747d782efc5dd0ef2148f7d19187a
U2 - 10.1088/1751-8113/43/45/455216
DO - 10.1088/1751-8113/43/45/455216
M3 - Article
AN - SCOPUS:78649645420
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 45
ER -