Geodesic
The geometry of singularities of a generic quadratic form
Izvestiya. Mathematics, Tome 17 (1981) no. 2, pp. 413-422 
A. N. Tyurin. The geometry of singularities of a generic quadratic form. Izvestiya. Mathematics, Tome 17 (1981) no. 2, pp. 413-422. http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a9/
@article{IM2_1981_17_2_a9,
     author = {A. N. Tyurin},
     title = {The geometry of singularities of a~generic quadratic form},
     journal = {Izvestiya. Mathematics},
     pages = {413--422},
     year = {1981},
     volume = {17},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a9/}
}
TY  - JOUR
AU  - A. N. Tyurin
TI  - The geometry of singularities of a generic quadratic form
JO  - Izvestiya. Mathematics
PY  - 1981
SP  - 413
EP  - 422
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a9/
LA  - en
ID  - IM2_1981_17_2_a9
ER  - 
%0 Journal Article
%A A. N. Tyurin
%T The geometry of singularities of a generic quadratic form
%J Izvestiya. Mathematics
%D 1981
%P 413-422
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1981_17_2_a9/
%G en
%F IM2_1981_17_2_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a connection between the invariants of a quadratic form on a bundle are described (Theorem 1). It is proved (Theorem 2) that a hypernet is uniquely determined by its invariant. Bibliography: 7 titles.

[1] Atiyah M. F., “Complex analytic connections in fibre bundles”, Trans. Amer. Math. Soc., 85 (1957), 181–207 | DOI | MR | Zbl

[2] Barth W., “Moduli of vector bundles on the projective plane”, Invent. Math., 42 (1977), 63–91 | DOI | MR | Zbl

[3] Barth W., Countion of singularity of quadric form on vector bundles, preprint, Angeré, 1979 | MR

[4] Mumford D., “Theta characteristics of on algebraic curve”, Ann. Sci. Ec. Norm. Sup.(4), 4 (1971), 181–192 | MR | Zbl

[5] Tyurin A. N., “O peresechenii kvadrik”, Uspekhi matem. nauk, 30:6 (1975), 51–100 | MR

[6] Tyurin A. N., “O periodakh kvadratichnykh differentsialov”, Uspekhi matem. nauk, 33:6 (1978), 169–221 | MR | Zbl

[7] Tyurin A. N., “Geometriya modulei vektornykh rassloenii”, Uspekhi matem. nauk, 29:6 (1974), 59–88 | MR | Zbl