A formula for the Cartier operator on plane algebraic curves.
A formula for the Cartier operator on plane algebraic curves.
复制标题
平面代数曲线上的卡地亚算子公式。
DOI:
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发表时间:
1987
期刊:
影响因子:
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通讯作者:
J. Voloch
中科院分区:
文献类型:
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作者:
Karl;J. Voloch
The main purpose of this paper is to establish a formula for the Cartier operator on a plane algebraic curve in terms of a differential operator in polynomials in two variables. This formula is very useful for computations and is also of theoretical interest To illustrate the latter we make an analysis of the ideals defining canonical curves in characteristic 2 and also give an elementary proof of a theorem of Manin on the number, modulo p, of rational points of an algebraic curve defined over a finite field of characteristic p.