Deficiency modules and specializations
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- by Edoardo Ballico and Giorgio Bolondi PDF
- Proc. Amer. Math. Soc. 108 (1990), 43-48 Request permission
Abstract:
Given a family of curves in the projective space we study how their deficiency modules can change. This has a geometrical translation in the problem of determining how the liaison class of a flat family of curves can change. As a consequence, we show that in every liaison class there are curves which are specializations of arithmetically Cohen-Macaulay curves.References
- Edoardo Ballico and Giorgio Bolondi, The variety of module structures, Arch. Math. (Basel) 54 (1990), no. 4, 397–408. MR 1042135, DOI 10.1007/BF01189589
- David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
- A. Prabhakar Rao, Liaison among curves in $\textbf {P}^{3}$, Invent. Math. 50 (1978/79), no. 3, 205–217. MR 520926, DOI 10.1007/BF01410078
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 43-48
- MSC: Primary 14H99; Secondary 14H50
- DOI: https://doi.org/10.1090/S0002-9939-1990-0990412-3
- MathSciNet review: 990412