Vector Bundles and Monads On Abelian Threefolds

REFERENCES

• Barth , W. , Hulek , K. ( 1978 ). Monads and moduli of vector bundles . Manuscripta Math. 25 ( 4 ): 323 – 347 .
   Web of Science ®Google Scholar
• Beauville , A. ( 1984 ). Variétés Kähleriennes dont la première classe de Chern est nulle . J. Differential Geom. 18 ( 4 ): 755 – 782 .
   Google Scholar
• Debarre , O. ( 1994 ). Degrees of curves in abelian varieties . Bull. Soc. Math. France 122 ( 3 ): 343 – 361 .
   Web of Science ®Google Scholar
• Fujiki , A. ( 1982/1983 ). On primitively symplectic compact Kähler V-manifolds of dimension four. Classification of algebraic and analytic manifolds (Katata, 1982), Progr. Math. Vol. 39. Boston, MA: Birkhäuser Boston , pp. 71 – 250 .
   Google Scholar
• Grothendieck , A. ( 1961 ). Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents. I. Inst. Hautes Études Sci. Publ. Math. (11):167 .
   Google Scholar
• Hartshorne , R. ( 1977 ). Algebraic Geometry . New York : Springer-Verlag, Graduate Texts in Mathematics, No. 52 .
   Google Scholar
• Hartshorne , R. ( 1977 ). Stable vector bundles of rank 2 on P 3 . Math. Ann. 238 ( 3 ): 229 – 280 .
   Web of Science ®Google Scholar
• Herrera , M. , Lieberman , D. ( 1971 ). Duality and the de Rham cohomology of infinitesimal neighborhoods . Invent. Math. 13 : 97 – 124 .
   Web of Science ®Google Scholar
• Horrocks , G. ( 1964 ). Vector bundles on the punctured spectrum of a local ring . Proc. London Math. Soc. (3) 14 : 689 – 713 .
   Google Scholar
• Huybrechts , D. , Lehn , M. ( 1997 ). The Geometry of Moduli Spaces of Sheaves. Aspects of Mathematics, E31, Friedr. Vieweg & Sohn, Braunschweig .
   Google Scholar
• Lange , H. , Birkenhake , C. (1992). Complex Abelian Varieties . Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 302 . Berlin : Springer-Verlag.
   Google Scholar
• Matsusaka , T. ( 1959 ). On a characterization of a Jacobian variety . Memo. Coll. Sci. Univ. Kyoto. Ser. A. Math. 32 : 1 – 19 .
   Google Scholar
• Morikawa , H. ( 1954 ). Cycles and endomorphisms of abelian varieties . Nagoya Math. J. 7 : 95 – 102 .
   Google Scholar
• Mukai , S. ( 1978 ). Semi-homogeneous vector bundles on an Abelian variety . J. Math. Kyoto Univ. 18 ( 2 ): 239 – 272 .
   Google Scholar
• Mukai , S. ( 1978 ). Symplectic structure of the moduli space of sheaves on an abelian or K3 surface . Invent. Math. 77 ( 1 ): 101 – 116 .
   Google Scholar
• Serre , J.-P. ( 1963 ). Sur les modules projectifs, Algèbre et théorie des nombres, Séminaire P. Dubreil, M.-L. Dubreil-Jacotin et C. Pisot. Vol. 14. Paris: Faculté des Sciences de Paris .
   Google Scholar
• 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 .
   Google Scholar
• Yang , J.-H. ( 1989 ). Holomorphic vector bundles over complex tori . J. Korean Math. Soc. 26 ( 1 ): 117 – 142 .
   Google Scholar
• Communicated by R. Piene.
   Google Scholar