Configurations of invariant straight lines of the type (2, 2, 1, 1) for a family of cubic systems
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2019-11-23 10:43
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BUJAC, Cristina, SCHLOMIUK, Dana, VULPE, Nicolae. Configurations of invariant straight lines of the type (2, 2, 1, 1) for a family of cubic systems. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 24-27. ISBN 978-9975-68-378-4.
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Proceedings IMCS-55 2019
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

Configurations of invariant straight lines of the type (2, 2, 1, 1) for a family of cubic systems


Pag. 24-27

Bujac Cristina1, Schlomiuk Dana2, Vulpe Nicolae1
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Université de Montréal
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

We construct all possible configurations of invariant straight lines for the class CSL2r2c1 (2,2,1,1). We prove that there are exactly 14 distinct such configurations and present corresponding examples for the realization of each one of the detected configurations.

Cuvinte-cheie
cubic system, affine transformation, invariant straight line, infinite and finite singularities, multiplicity of an invariant line and singularity, configuration of invariant straight lines