Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane
Journées de géométrie algébrique d'Orsay - Juillet 1992, Astérisque, no. 218 (1993), pp. 111-144. 
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     title = {Schur quadrics, cubic surfaces and rank $2$ vector bundles over the projective plane},
     booktitle = {Journ\'ees de g\'eom\'etrie alg\'ebrique d'Orsay - Juillet 1992},
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     number = {218},
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     url = {http://archive.numdam.org/item/AST_1993__218__111_0/}
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Dolgachev, I.; Kapranov, M. Schur quadrics, cubic surfaces and rank $2$ vector bundles over the projective plane, dans Journées de géométrie algébrique d'Orsay - Juillet 1992, Astérisque, no. 218 (1993), pp. 111-144. http://archive.numdam.org/item/AST_1993__218__111_0/

[ACGH] E. Arbarello, M. Cornalba, Ph. Griffiths, J. Harris, Geometry of algebraic curves, Vol.1 (Grund. Math. Wiss, 267), Springer-Verlag, 1990.

[B] H. Baker, Principles of geometry, Vol.3, Cambridge Univ. Press, 1927.

[Bu] W. Burnside, On the double-six which admits a group of 120 collineations into inself, Proc. Camb. Phil Soc., 16 (1911), 418-420.

[DG] E. Davis, A. Geramita, Birational morphisms to P 2 : an ideal-theoretic perspective, Math. Ann., 279 (1988), 435-448.

[DK] I. Dolgachev, M. Kapranov, Arrangements of hyperplanes and vector bundles on Pn, preprint 1992.

[DO] I. Dolgachev, D. Ortland, Finite point sets in projective spaces and thetafunctions, Astérisque, 167, Soc. Math. France, 1989.

[G] A. Geramita, The curves seminar at Queen's, Vol.6, Queens' Payers in Pure and Appl. Math., 83 (1989).

[Gi] A. Gimigliano, On Veronesean surfaces, Indag. Math., 51 (1989), 71-85.

[H] R. Hartshorne, Algebraic Geometry, Springer-Verlag, 1977.

[Hu1] K. Hulek, Stable rank 2 bundles on P 2 with c 1 odd, Math. Ann., 242 (1979), 241-266.

[Hu2] K. Hulek, Geometry of the Horroks-Mumford bundle, Proc. Symp. Pure Math., Vol. 46, Part 2, p. 69-85, AMS, 1987.

[K] F. Klein, Lectures on the icosahedron and the solution of equations of fifth degree, Dover Publ., New York, 1956.

[L] J. Le Potier, Fibrés stables de rang 2 sur P 2 (C), Math. Ann., 241 (1979), 217-256.

[M] Y. Manin, Cubic forms, North-Holland, 1977.

[No] D. G. Northcott, Finite free resolutions, Cambridge Tracts in Math. No. 71, Cambridge Univ. Press, 1976.

[OSS] C. Okonek, M. Schneider, H. Spindler, Vector bundles on complex projective spaces, Progress in Math., Vol.3, Birkhäuser, Boston 1980.

[R] T. G. Room, The geometry of determinantal loci, Cambridge Univ. Press, 1937.

[S] F. Schur, Über die durch collineare Grundgebilde erzeugten Curven und Flächen, Math. Ann., 18 (1881), 1-32.

[Sch1] R. L. E. Schwarzenberger, Vector bundles on the projective plane, Proc. London Math. Soc., 11 (1961), 623-640.

[Sch2] R. L. E. Schwarzenberger, The secant bundle of a projective variety, Proc. London Math. Soc., 14 (1964), 369-384.