Monads and instanton bundles on smooth hyperquadrics

• Autores: Laura Costa Farràs , Rosa María Miró-Roig
• Localización: Mathematische Nachrichten, ISSN 0025-584X, Vol. 282, Nº. 2, 2009, págs. 169-179
• Idioma: inglés
• DOI: 10.1002/mana.200610730
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we study instanton bundles on quadric hypersurfaces from the algebraic and geometric point of view. We discuss examples and we give a cohomological characterization

• Referencias bibliográficas
  • V. Ancona and G. Ottaviani, Some applications of Beilinson’s theorem to projective spaces and quadrics, Forum Math.3, 157–176 (1991).
  • V. Ancona and G. Ottaviani, Stability of special instanton bundles on P2n+1, Trans. Amer. Math. Soc. 341, 677–693(1994).
  • M. Atiyah, N. Hitchin, V. G. Drinfeld, and Yu. I. Manin, Construction of instantons, Phys. Lett. A 65, No. 3, 185–187(1978).
  • A. A. Beilinson, Coherent sheaves on Pn and problems of linear algebra, Funct. Anal. Appl. 12, 214–216 (1979).
  • I. Coandˇa, A. Tikhomirov, and G. Trautmann, Irreducibility and smoothness of the moduli space of mathematical 5-instantons over P3, Internat....
  • L. Costa and R. M. Mir´o–Roig, Geometric collections and Castelnuovo–Mumford regularity, Math. Proc. Camb. Philos.Soc. 143, No. 3, 557–578...
  • L. Costa and R. M. Mir´o–Roig, Cohomological characterization of vector bundles on multiprojective spaces, J. Algebra294, 73–96 (2005).
  • G. Fløystead, Monads on projective spaces, Commun. Algebra 28, 5503–5516 (2000).
  • A. L. Gorodentsev and S. A. Kuleshov, Helix theory, Preprint MPI 97 (2001).
  • L. Hille, Consistent algebras and special tilting sequences, Math. Z. 220, 189–205 (1995).
  • M. Jardim, Instanton sheaves on complex projective spaces, Collect. Math. 57, No. 1, 69–91 (2006).
  • M. M. Kapranov, On the derived category of coherent sheaves on Grassmann manifolds, Math. USSR-Izv. 24, 183–192(1985).
  • M. M. Kapranov, On the derived category of coherent sheaves on some homogeneous spaces, Invent. Math. 92, 479–508(1988).
  • B. V. Karpov and D. Yu Nogin, Three-block exceptional collections over Del Pezzo surfaces, Math. USSR-Izv. 62,429–463 (1998).
  • C. Okonek, M. Schneider, and H. Spindler, Vector Bundles on Complex Projective Spaces, Progress in MathematicsVol. 3 (Birkh¨auser, 1980).
  • C. Okonek and H. Spindler, Mathematical instanton bundles on P2n+1, Crelle Journal 364, 35–50 (1986).
  • P. Rao, A mathematical instantons with maximal order jumping lines, Pacific J. Math. 178, No. 2, 331–344 (1997).
  • M. Skiti, Sur une famille de fibr´es instantons, Math. Z. 225, No. 3, 373–394 (1997).
  • H. Spindler and G. Trautmann, Special instanton bundles on P2N+1, their geometry and their moduli, Math. Ann. 286,No. 1–3, 559–592 (1990)