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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Degeneration and specialization in algebraic families of vector bundles
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by Stephen S. Shatz PDF
Bull. Amer. Math. Soc. 82 (1976), 560-562
References
  • D. Gieseker, On the moduli of vector bundles on an algebraic surface, Ann. of Math. (2) 106 (1977), no. 1, 45–60. MR 466475, DOI 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 364255, DOI 10.2307/1970987
  • 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
  • Stephen S. Shatz, The decomposition and specialization of algebraic families of vector bundles, Compositio Math. 35 (1977), no. 2, 163–187. MR 498573
    • [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 337966, DOI 10.1017/S0027763000014896
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 82 (1976), 560-562
  • MSC (1970): Primary 14F05, 14D20, 14C05
  • DOI: https://doi.org/10.1090/S0002-9904-1976-14099-2
  • MathSciNet review: 0407020