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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2013 Volume 204, Number 6, Pages 93–134 (Mi sm5153)

This article is cited in 3 papers

On triangulations of the plane by pencils of conics. II

V. B. Lazareva, A.M. Shelekhov

Tver State University

Abstract: The present work continues our previous paper in which all possible triangulations of the plane using three pencils of circles were listed. In the present article we find all projectively distinct triangulations of the plane by pencils of conics that are obtained by projecting regular three-webs, cut out on a nondegenerate cubic surface by three pencils of planes, whose axes lie on this surface.
Bibliography: 6 titles.

Keywords: curvilinear three-web, regular three-web, Burau web, special Burau three-web.

UDC: 514.763.7

MSC: Primary 53A60; Secondary 53A30

Received: 03.04.2008 and 05.02.2013

DOI: 10.4213/sm5153


 English version:
Sbornik: Mathematics, 2013, 204:6, 869–909

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© Steklov Math. Inst. of RAS, 2026