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We study Weierstrass points on a smooth curve C whose first two non-gaps equal n and n+2. If the genus g of C satisfies g > [(n^2 −1)/2], then it is known that C is a two-sheeted covering of a curve. ...In this paper, we mainly concentrate on a point P ∈C such that |nP| is a base point free pencil and |(n + 2) P| is a base point free simple net, whence necessarily g ≤ [(n^2 −1)/2], and study bounds for numbers of such Weierstrass points on C.続きを見る
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