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- W2803127204 abstract "Let $X$ be a general cyclic cover of $mathbb{CP}^{1}$ ramified at $m$ points, $lambda_1...lambda_m.$ we define a class of non positive divisors on $X$ of degree $g-1$ supported in the pre images of the branch points on $X$, such that the the standard theta function doesn't vanish on their image in $J(X).$ These divisors generalize the divisors introduced in [BR] and [Na]. Generalizing the results of [BR],[Na] and [EG] we show that up to a certain determinant of the non standard periods of $X$, the value of the theta functions at these divisors is a polynomial in the branch point of the curve $X.$ Our treatment is based on a generalization of Accola's results of the 3 cyclic sheeted cover [Ac1] and a straightforward generalization of Nakayashiki's approach explained in [Na] in the non singular case for any singular cyclic cover." @default.
- W2803127204 created "2018-06-01" @default.
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- W2803127204 date "2009-09-27" @default.
- W2803127204 modified "2023-09-27" @default.
- W2803127204 title "Non vanishing divisors for general cyclic covers and their Thomae formula" @default.
- W2803127204 hasPublicationYear "2009" @default.
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