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THE DIVISOR CLASS GROUP OF SURFACES OVER FINITE FIELDS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.3, pp.269-274
https://doi.org/10.7468/jksmeb.2011.18.3.269
Choi, Sang-Ki

Abstract

We investigate the divisor class group of surfaces over finite fields. For some surfaces the divisor class group depends on the characteristic of the field. We calculate the determinant of a matrix which will provide an information about the divisor class group of the surfaces.

keywords
divisor class group, factorial, determinant, finite field

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics