Lifting divisors with imposed ramifications on a generic chain of loops

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2018)

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摘要
Let C be a curve over an algebraically closed non-archimedean field with non-trivial valuation. Suppose C has totally split reduction and the skeleton F is a chain of loops with generic edge lengths. Let P be the rightmost vertex of F and let P is an element of C be a point that specializes to P. We prove that any divisor class on F with imposed ramification at P that is rational over the value group of the base field lifts to a divisor class on C that satisfies the same ramification at P, which extends the result in [Canad. Math. Bull. 58 (2015), 250-262].
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关键词
divisors,ramifications,generic chain
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