Geodesic
The structure of the variety of pairs of commuting pencils of symmetric matrices
Izvestiya. Mathematics , Tome 20 (1983) no. 2, pp. 391-410

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This paper describes the components of the variety of classes of pairs of commuting pencils of symmetric matrices. Bibliography: 7 titles. 
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     author = {A. N. Tyurin},
     title = {The structure of the variety of pairs of commuting pencils of symmetric matrices},
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A. N. Tyurin. The structure of the variety of pairs of commuting pencils of symmetric matrices. Izvestiya. Mathematics , Tome 20 (1983) no. 2, pp. 391-410. http://geodesic.mathdoc.fr/item/IM2_1983_20_2_a8/