Vector Bundles Near Negative Curves: Moduli and Local Euler Characteristic

REFERENCES

• Ballico , E. , Gasparim , E. ( 2002 ). Numerical invariants for vector bundles on blow-ups . Proc. Amer. Math. Soc. 130 : 23 – 32 .
   Web of Science ®Google Scholar
• Ballico , E. , Gasparim , E. ( 2003 ). Vector bundles on a neighborhood of an exceptional curve and elementary transformations . Forum Math. 15 : 115 – 122 .
   Web of Science ®Google Scholar
• Ballico , E. , Gasparim , E. ( 2000 ). Vector bundles on a formal neighborhood of a curve in a surface . Rocky Mountain J. Math. 30 : 795 – 814 .
   Web of Science ®Google Scholar
• Blache , R. ( 1996 ). Chern classes and Hirzebruch–Riemann–Roch theorem for coherent sheaves on complex projective orbifolds with isolated singularities . Math. Z. 222 : 7 – 57 .
   Web of Science ®Google Scholar
• Eisenbud , D. ( 1980 ). Homological algebra on a complete intersection, with an application to group representations . Trans. Amer. Math. Soc. 260 ( 1 ): 35 – 64 .
   Web of Science ®Google Scholar
• Gasparim , E. ( 1997 ). Holomorphic bundles on 𝒪(−k) are algebraic . Comm. Algebra 25 : 3001 – 3009 .
   Web of Science ®Google Scholar
• Gasparim , E. ( 1998 ). Rank two bundles on the blow-up of ℂ2 . J. Algebra 199 : 581 – 590 .
   Web of Science ®Google Scholar
• Gasparim , E. ( 2000 ). Chern classes of bundles on blown-up surfaces . Comm. Algebra 28 : 4912 – 4926 .
   Web of Science ®Google Scholar
• Gasparim , E. , Ontaneda , P. ( 2007 ). Three applications of instanton numbers . Comm. Math. Phys. 270 ( 1 ): 1 – 12 .
   Web of Science ®Google Scholar
• Gasparim , E. , Köppe , T. , Majumdar , P. ( 2008 ). Local holomorphic Euler characteristic and instanton decay . Pure Appl. Math. Q. 4 ( 2 ): 161 – 179 . Special Issue: In honor of Fedya Bogomolov, Part 1 .
   Web of Science ®Google Scholar
• Grayson , D. R. , Stillman , M. E. Macaulay 2, a software system for research in algebraic geometry. Available at http://www.math.uiuc.edu/Macaulay2/. Last accessed October 3, 2008 .
   Google Scholar
• Griffiths , P. A. ( 1966 ). The extension problem in complex analysis, II. Embeddings with positive normal bundle . Amer. J. Math. 88 : 366 – 446 .
   Web of Science ®Google Scholar
• Gasparim , E. , Swanson , I. ( 2005 ). Computing Instanton numbers of curve singularities . J. Symbolic Computation 40 ( 2 ): 965 – 978 .
   Web of Science ®Google Scholar
• Hartshorne , R. ( 1977 ). Algebraic Geometry . Graduate Texts in Mathematics , New York : Springer-Verlag .
   Google Scholar
• Lübke , M. , Teleman , A. ( 1995 ). The Kobayashi–Hitchin Correspondence . River Edge, NJ : World Scientific Publishing Co. Inc .
   Google Scholar
• Reid , M. ( 2002 ). La Correspondance de McKay, Séminaire Bourbaki, 52ème année, Novembre 1999, no. 867 . Astérisque 276 : 53 – 72 .
   Google Scholar
• Souza , A. F. P. ( 1999 ). Fibrados Sobre 𝒦_ℙ¹ . Master's thesis, Universidade Federal de Pernambuco, Departamento de Matematica, Pernambuco, Brazil. (Portuguese) .
   Google Scholar
• Communicated by I. Swanson.
   Google Scholar