Nesteruk V. Bilinear pairings and points of algebraic varieties over functional fields.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U003898

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

24-09-2014

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

The thesis is dedicated to studying of the Tate bilinear pairing and of the Weil pairing, and their properties. The Tate pairing may be defined over pseudofinite fields. Recall that a field K is called pseudofinite if is perfect, K has the unique extension of degree n for each natural number n and every nonempty absolutely irreducible variety over K , has a K -rational point.

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