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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Degeneration and specialization in algebraic families of vector bundles


Author: Stephen S. Shatz
Journal: Bull. Amer. Math. Soc. 82 (1976), 560-562
MSC (1970): Primary 14F05, 14D20, 14C05
MathSciNet review: 0407020
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  • D. Gieseker, On the moduli of vector bundles on an algebraic surface, Ann. of Math. (2) 106 (1977), no. 1, 45–60. MR 466475 (81h:14014), http://dx.doi.org/10.2307/1971157
  • [HN] G. Harder and R. Narasimhan, The étale cohomology of the moduli of vector bundles over a curve, Invent. Math., 1975.
  • Stacy G. Langton, Valuative criteria for families of vector bundles on algebraic varieties, Ann. of Math. (2) 101 (1975), 88–110. MR 0364255 (51 #510)
  • David Mumford, Projective invariants of projective structures and applications, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 526–530. MR 0175899 (31 #175)
  • Stephen S. Shatz, The decomposition and specialization of algebraic families of vector bundles, Compositio Math. 35 (1977), no. 2, 163–187. MR 0498573 (58 #16668)
  • [S2] S. Shatz, Vector bundles on ruled surfaces (preprint).
  • [S3] S. Shatz, Vector bundles and Hilbert schemes (preprint).
  • Fumio Takemoto, Stable vector bundles on algebraic surfaces, Nagoya Math. J. 47 (1972), 29–48. MR 0337966 (49 #2735)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1976-14099-2
PII: S 0002-9904(1976)14099-2