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).
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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