Special ramification loci on the double product of a general curve

Mathematics – Algebraic Geometry

Scientific paper

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32 pages, 1 figure

Scientific paper

Let C be a general connected, smooth, projective curve of positive genus g.
For each nonnegative integer i we give formulas for the number of pairs (P,Q)
em C x C off the diagonal such that (g+i-1)Q-(i+1)P is linearly equivalent to
an effective divisor, and the number of pairs (P,Q) em C x C off the diagonal
such that (g+i+1)Q-(i+1)P is linearly equivalent to a moving effective divisor.

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