Geometry of the genus 9 Fano 4-folds
Frédéric Han[1]
- [1] Université Paris 7 Institut de Mathématiques de Jussieu Case Postale 7012 Bâtiment Chevaleret 75205 Paris Cedex 13 (France)
Annales de l’institut Fourier (2010)
- Volume: 60, Issue: 4, page 1401-1434
- ISSN: 0373-0956
Access Full Article
topAbstract
topHow to cite
topReferences
top- M. Andreatta, J. Wisniewski, On manifold whose tangent bundle contains a ample subbundle, Invent. math. 146 (2001), 209-217 Zbl1081.14060MR1859022
- W. Barth, Irreducibility of the space of mathematical instanton bundles with rank 2, , Math Ann. 258 (1981), 81-106 Zbl0477.14014MR641670
- L. Gruson, C. Peskine, Courbes de l’espace projectif, variétés de sécantes. Enumerative geometry and classical algebraic geometry, 24 (1982), Birkhäuser. Boston Zbl0531.14020
- R. Hartshorne, Algebraic Geometry, 52 (1977), Springer-Verlag GTM Zbl0367.14001MR463157
- R. Hartshorne, Stable reflexive sheaves, Math Ann 254 (1980), 121-176 Zbl0431.14004MR597077
- A. Iliev, The -Grassmannian and duality for prime Fano threefolds of genus , Manuscripta math. 112 (2003), 29-53 Zbl1078.14528MR2005929
- A. Iliev, L. Manivel, Severi varieties and their varieties of reduction, J. reine angew. Math 585 (2005), 93-139 Zbl1083.14060MR2164624
- A. Iliev, K. Ranestad, Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci, Mich. Math. Journal 53 (2005), 383-417 Zbl1084.14042MR2152707
- V. G. Kac, Some remarks on nilpotent orbits, Journal of Algebra 64 (1980), 190-213 Zbl0431.17007MR575790
- J. Kollar, Rationnal curves on algebraic varieties., 32 (1995), Springer-Verlag Zbl0877.14012MR1440180
- A. Kuznetsov, Hyperplane sections and derived categories, Izvestiya Mathematics 70 (2006), 447-447 Zbl1133.14016MR2238172
- L. Manivel, Configuration of lines and models of Lie algebras, Journal of Algebra 304 (2006), 457-486 Zbl1167.17001MR2256401
- L. Manivel, E. Mezzetti, On linear spaces of skew-symmetric matrices of constant rank, Manuscripta math. 117 (2005), 319-331 Zbl1084.14050MR2154253
- E. Mezzetti, P. de Poi, Congruences of lines in , quadratic normality, and completely exceptional Monge-Ampère equations, Geom Dedicata 131 (2008), 213-230 Zbl1185.14042MR2369200
- C. Okonek, M. Schneider, H. Spindler, Vector bundles on complex projective spaces, (1980), Birkäuser Boston Mass Zbl0438.32016MR561910
- D. Z. Đoković, A. Osterloh, On polynomial invariants of several qubits, J. Math. Phys. 50 (2009), 81-106 Zbl1202.81017MR2510914
- A. N. Tjurin, On the superpositions of mathematical instantons, In Artin, Tate, J.(eds) Arithmetic and geometry. Prog. Math 36 (1983), 433-450 Zbl0541.14013MR717619
- J. Weyman, Cohomology of vector bundles and syzygies, 149 (2003), Cambridge Zbl1075.13007MR1988690