S. I. Agafonov and E, V, Ferapontov have introduced a construction that allows naturally associating to a system of partial differential equations of conservation laws a congruence of lines in an appropriate protective space. In particular hyperbolic systems of Temple class correspond to congruences of lines that place in planar pencils of lines. The language of Algebraic Geometry turns out to be very natural in the study of these systems. In this article, after recalling the definition and the basic facts on congruences of lines, Agafonov-Ferapontov's construction is illustrated and some results of classification for Temple systems are presented. In particular, we obtain the classification of linear congruences in P5, which correspond to some classes of T-systems in 4 variables.
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机译：S. I. AgaFonov和E，V，FeraPontov引入了一种结构，该结构允许自然地关联保护法律的部分微分方程系统在适当的保护空间中的一致性。特别是寺庙级的双曲线系统对应于位于平面线铅笔中的线路的同时。代数几何的语言在这些系统的研究中起到非常自然。在本文中，在回顾了线条的界定的定义和基本事实之后，展示了Agafonov-Ferapontov的结构，并提出了一些寺庙系统分类结果。特别是，我们在P5中获得线性偶数的分类，其对应于4个变量中的某些类的T-Systems。
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