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Real analytic varieties with the finiteness property and complex abelian integrals

✍ Scribed by A. G. Khovanskii

Publisher: Springer US
Year: 1984
Tongue: English
Weight: 820 KB
Volume: 18
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077822

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📜 SIMILAR VOLUMES

Real Polynomials with All Roots on the U

Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields

✍ Stephen A. DiPippo; Everett W. Howe 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 376 KB

In this paper we prove several theorems about abelian varieties over finite fields by studying the set of monic real polynomials of degree 2n all of whose roots lie on the unit circle. In particular, we consider a set V n of vectors in R n that give the coefficients of such polynomials. We calculate

CORRIGENDUM: Volume 73, Number 2 (1998),

CORRIGENDUM: Volume 73, Number 2 (1998), in the article “Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields,” by Stephen A. DiPippo and Everett W. Howe, pages 426–450

📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 27 KB

The expression q n(n&1)Â4 should be replaced with the expression q (n+2)(n&1)Â4 in the first displayed equation in the statement of Theorem 1.2 (page 427), as well as in the first displayed equation in the statement of Proposition 3.2.1 (page 445) and in the displayed equation at the bottom of page