On a class of first order congruences of lines

被引：2

作者：

De Poi, Pietro ^{[1
]}

Mezzetti, Emilia ^{[2
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2009年 / 16卷 / 05期

关键词：

Congruences of lines; completely exceptional Monge-Ampere equations; EQUATIONS; P-4;

D O I：

10.36045/bbms/1260369400

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of new examples of congruences of lines of order one, i.e. the congruences associated to the completely exceptional Monge-Ampere equations. We prove that they are in general not linear, and that through a general point of the focal locus there passes a planar pencil of lines of the congruence. In particular, the completely exceptional Monge-Ampere equations are of Temple type.

引用

页码：805 / 821

页数：17

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