Algebra publication

Title

Division algebras on P^2 of odd index, ramified along a smooth elliptic curve are cyclic

Author(s)

M. Van den Bergh.

Year

1995

Abstract

The simplest non-trivial division algebras that can be constructed over a rational function field in two variables are those that ramify along a smooth cubic curve. In this note we show that these division algebras are cyclic if they have odd index.

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