Geodesic
Higher rank case of Dwork’s conjecture
Wan, Daqing1
1 Department of Mathematics, University of California, Irvine, California 92697
Journal of the American Mathematical Society, Tome 13 (2000) no. 4, pp. 807-852 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper, we study the higher rank case of Dwork’s conjecture on the $p$-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent F-crystal. Our main result is to reduce the general case of the conjecture to the special case when the pure slope part has rank one and when the base space is the simplest affine $n$-space.
DOI : 10.1090/S0894-0347-00-00339-8

Wan, Daqing 1

1 Department of Mathematics, University of California, Irvine, California 92697 
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Wan, Daqing. Higher rank case of Dwork’s conjecture. Journal of the American Mathematical Society, Tome 13 (2000) no. 4, pp. 807-852. doi: 10.1090/S0894-0347-00-00339-8

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