Linear Congruences and hyperbolic Systems of conservation Laws

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dc.creatorDe Poi, Pietro
dc.creatorMezzetti, Emilia
dc.date2005-04-02
dc.date.accessioned2026-07-07T05:18:44Z
dc.date.available2026-07-07T05:18:44Z
dc.descriptionS. 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 projective 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 $\mathbb{P}^5$, which correspond to some classes of $T$-systems in 4 variables.
dc.descriptionAMS-LaTeX, 17 pages. To appear in the preceedings of ``Projective Varieties with unexpected Properties: a Conference in Honour of the 150th birthday of G. Veronese''
dc.identifierhttps://arxiv.org/abs/math/0504033
dc.identifierhttp://arxiv.org/abs/math/0504033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74770
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectPrimary 14M15, 35L65 Secondary 53A25, 53B50
dc.titleLinear Congruences and hyperbolic Systems of conservation Laws
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