The Chabauty-Coleman bound at a prime of bad reduction and clifford bounds for geometric rank functions

Details The Chabauty-Coleman bound at a prime of bad reduction and clifford bounds for geometric rank functions The Chabauty-Coleman bound at a prime of bad reduction and clifford bounds for geometric rank functions

2012-04-15

arxiv.org/abs/1204.3335v1

Mathematics

Number Theory

22 pages

Scientific paper

Let X be a curve over a number field K with genus g>=2, $\pp$ a prime of O_K over an unramified rational prime p>2r, J the Jacobian of X, r=rank J(K), and $\scrX$ a regular proper model of X at $\pp$. Suppose r

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