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Original Articles

Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves

Pages 812-828 | Received 23 May 2013, Published online: 22 Oct 2014

REFERENCES

  • Beilinson , A. A. ( 1979 ). Coherent sheaves on ℙ n and problems of linear algebra . Funct. Anal. Appl. 12 : 214 – 216 .
  • Drézet , J.-M. , Maican , M. ( 2011 ). On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics . Geom. Dedicata 152 : 17 – 49 .
  • Freiermuth , H. G. ( 2000 ). On the Moduli Space M P (ℙ3) of Semi-stable Sheaves on ℙ3 with Hilbert Polynomial P(m) = 3m + 1 . Germany : Diplomarbeit, Universutät Kaiserslautern .
  • Freiermuth , H. G. , Trautmann , G. (2004). On the moduli scheme of stable sheaves supported on cubic space curves. Amer. J. Math. 126(2):363–393.
  • Grothendieck , A. ( 1965 ). Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. II. Inst. Hautes Études Sci. Publ. Math. (24):231 .
  • Iena , O. , Trautmann , G. ( 2010 ). Modification of the Simpson moduli space M 3m+1(ℙ2) by vector bundles (I) . ArXiv e-prints.
  • Iena , O. ( 2009 ). Modification of Simpson Moduli Spaces of 1-dimensional Sheaves by Vector Bundles, an Experimental Example . Ph.D. Dissertation in Mathematics. Germany : Technische Universität Kaiserslautern .
  • Potier , J. L. ( 1993 ). Faisceaux semi-stables de dimension 1 sur le plan projectif . Rev. Roumaine Math. Pures Appl. 38 ( 7–8 ): 635 – 678 .
  • Maican , M. ( 2011 ). On the moduli space of semi-stable plane sheaves with Euler characteristic one and supported on sextic curves. ArXiv e-prints.
  • Maican , M. ( 2013 ). Relative Hilbert schemes and moduli spaces of torsion plane sheaves. ArXiv e-prints.
  • Maican , M. ( 2008 ) On two notions of semistability . Pac. J. Math. 234 ( 1 ): 69 – 135 .
  • Maican , M. ( 2010 ). A duality result for moduli spaces of semistable sheaves supported on projective curves . Rend. Semin. Mat. Univ. Padova 123 : 55 – 68 .
  • Markushevich , D. , Tikhomirov , A. S. , Trautmann , G. ( 2012 ). Bubble tree compactification of moduli spaces of vector bundles on surfaces . Cent. Eur. J. Math. 10 ( 4 ): 1331 – 1355 .
  • Okonek , C. , Schneider , M. , Spindler , H. ( 1980 ). Vector Bundles on Complex Projective Spaces. Volume 3 of Progress in Mathematics .
  • Simpson , C. T. ( 1994 ). Moduli of representations of the fundamental group of a smooth projective variety. I. Inst. Hautes Études Sci. Publ. Math. (79):47–129 .
  • Communicated by R. Piene.

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