Families of Algebraic Varieties and Towers of Algebraic Curves over Finite Fields
نویسندگان
چکیده
منابع مشابه
Algebraic complexities and algebraic curves over finite fields
We consider the problem of minimal (multiplicative) complexity of polynomial multiplication and multiplication in finite extensions of fields. For infinite fields minimal complexities are known [Winograd, S. (1977) Math. Syst. Theory 10, 169-180]. We prove lower and upper bounds on minimal complexities over finite fields, both linear in the number of inputs, using the relationship with linear c...
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Motivated by arithmetic applications, we introduce the notion of a partial zeta function which generalizes the classical zeta function of an algebraic variety defined over a finite field. We then explain two approaches to the general structural properties of the partial zeta function in the direction of the Weil type conjectures. The first approach, using an inductive fibred variety point of vi...
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 2018
ISSN: 0001-4346,1573-8876
DOI: 10.1134/s0001434618110123