Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897270 | Journal of Pure and Applied Algebra | 2019 | 25 Pages |
Abstract
Let F be a field of characteristic 2. In this paper we give a complete computation of the kernel of the homomorphism H2m+1(F)â¶H2m+1(L) induced by scalar extension, where L/F is a purely inseparable extension (of any degree), H2m+1(F) is the cokernel of the Artin-Schreier operator â:ΩFmâ¶Î©Fm/dΩFmâ1 given by: xdx1x1â§â¯â§dxmxmâ¦(x2âx)dx1x1â§â¯â§dxmxm+dΩFmâ1, where ΩFm is the space of absolute m-differential forms over F and d is the differential operator. Other related results are included.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roberto Aravire, Ahmed Laghribi, Manuel O'Ryan,