The geometry of p(S¹)

John Robert Quine, Jr.

Vol. 64 (1976), No. 2, 551–557

DOI: 10.2140/pjm.1976.64.551

Abstract

Let p be a polynomial of degree n. The image of the unit circle, p(S¹), can be thought of as a subset of the real part of an algebraic curve W of degree 2n. This paper outlines some facts about p(S¹) which can be obtained using classical algebraic geometry, for example Bézout’s theorem.

Mathematical Subject Classification 2000

Primary: 30A06, 30A06

Secondary: 14H99, 12D10

Milestones

Received: 29 December 1975

Published: 1 June 1976