TY - JOUR
T1 - Thomae type formulae for singular Z_N curves
JF - Lett. Math. Phys. 76 (2006) 187-214
Y1 - 2006
A1 - Victor Z. Enolski
A1 - Tamara Grava
AB - We give an elementary and rigorous proof of the Thomae type formula for singular $Z_N$ curves. To derive the Thomae formula we use the traditional variational method which goes back to Riemann, Thomae and Fuchs. An important step of the proof is the use of the Szego kernel computed explicitly in algebraic form for non-singular 1/N-periods. The proof inherits principal points of Nakayashiki\\\'s proof [31], obtained for non-singular ZN curves.
UR - http://hdl.handle.net/1963/2125
U1 - 2118
U2 - Mathematics
U3 - Mathematical Physics
ER -