Cohomology of singular hypersurfaces

@article{Dwork2000CohomologyOS,
  title={Cohomology of singular hypersurfaces},
  author={Bernard Dwork},
  journal={Pacific Journal of Mathematics},
  year={2000},
  volume={195},
  pages={81-89}
}
  • B. Dwork
  • Published 1 September 2000
  • Mathematics
  • Pacific Journal of Mathematics
Our object is to extend earlier work [D1] on singular hypersurfaces defined over an algebraic number field to singular hypersurfaces defined over function fields in characteristic zero. A key role will be played by the results of Bertolin [B1] which in turn is based upon the Transfer Theorem of André–Baldassarri–Chiarellotto [DGS, Theorem VI 3.2]. Let h(A, x) be the generic form of degree d in n+1 variables x1, . . . , xn+1. 
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Applications of Curves over Finite Fields
The area starts with Galois and Gauss Group theory and expo nential sums were the two application areas then That tradition continues Without Chevalley groups over nite elds there would have been no

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This paper is available via http://nyjm.albany.edu:8000/PacJ
  • This paper is available via http://nyjm.albany.edu:8000/PacJ
  • 2000
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