Geodesic
Stable bundles of rank~2 with Chern's classes $c_1=0$, $c_2=2$ on $\mathbb P^3$ and Poncelet hyperquadrics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 551-555

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In this article we investigate the variety $M(0,2)$ of stable vector bundles of rank 2 on $\mathbb P^3$ with Chern's classes $c_1=0$, $c_2=2$ and give the explicit description of closure of $M(0,2)$ as the intersection of special determinantal locus with uniquely determined Poncelet hyperquadric in $\mathbb P^{20}$.
Keywords: stable bundle
Mots-clés : Poncelet hyperquadric. 
@article{JSFU_2011_4_4_a13,
     author = {Sergey A. Tikhomirov},
     title = {Stable bundles of rank~2 with {Chern's} classes $c_1=0$, $c_2=2$ on $\mathbb P^3$ and {Poncelet} hyperquadrics},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {551--555},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a13/}
}
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Sergey A. Tikhomirov. Stable bundles of rank~2 with Chern's classes $c_1=0$, $c_2=2$ on $\mathbb P^3$ and Poncelet hyperquadrics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 551-555. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a13/