Singularities of 2θ-divisors in the Jacobian
نویسنده
چکیده
Let C be a smooth, connected, projective non-hyperelliptic curve of genus g ≥ 2 over the complex numbers and let Pic(C) be the connected component of its Picard variety parametrizing degree d line bundles, for d ∈ Z. The variety Pic(C) carries a naturally defined divisor, the Riemann theta divisor Θ, whose support consists of line bundles that have nonzero global sections. The Riemann singularity theorem describes the singular locus of the divisor Θ as
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