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Curves on normal surfaces
Author(s):
Gunnar
Fløystad
Journal:
Trans. Amer. Math. Soc.
352
(2000),
5485-5510.
MSC (2000):
Primary 14H50
Posted:
August 8, 2000
MathSciNet review:
1443874
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Abstract:
We study locally Cohen-Macaulay space curves lying on normal surfaces. We prove some theorems on the behaviour of the cohomology functions and initial ideals of such space curves, which give a basic distinction between those curves and curves lying on non-normal surfaces.
References:
-
- [Ba-Fo]
- C. Banica, O. Forster. Multiplicity structures on space curves. Lefschetz Centennial Conf., Part I, Contemp. Math. 58, (1986), 47-64. MR 88c:32018
- [Ba-St]
- D. Bayer, M. Stillman. A criterion for detecting m-regularity. Inventiones Mathematicae 87 (1987), 1-11. MR 87k:13019
- [Co]
- M. Cook. The connectedness of space curve invariants. Compositio Mathematica 111 (1998), 221-244. MR 99a:14040
- [Ei]
- D. Eisenbud. Commutative algebra with a view towards algebraic geometry. GTM 150, Springer Verlag (1995). MR 97a:13001
- [Fl]
- G. Fløystad. Higher initial ideals of homogeneous ideals. Memoirs of the American Mathematical Society 134 (1998), no. 638. MR 98m:13021
- [Fl-Gr]
- G. Fløystad, M. Green. The information encoded in initial ideals. To appear in Transactions of the American Mathematical Society.
- [Gi]
- S. Giuffrida. Graded Betti numbers and Rao module of a curve lying on a smooth cubic surface in
 . Queen's Papers in Pure and Appl. Math., 88 (1991), A1-A61. MR 93g:14035 - [Ha]
- R. Hartshorne. Generalized divisors on Gorenstein schemes. K-theory 8 (1994), 287-339. MR 95k:14008
- [Li]
- R. Liebling. Classification of space curves using initial ideals. Ph.D. thesis, University of California at Berkeley (1996).
- [MD-Pe]
- M. Martin-Deschamps, D. Perrin. Sur la classification des courbes gauches. Astérisque 184-185 (1990). MR 91h:14039
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Additional Information:
Gunnar
Fløystad
Affiliation:
Matematisk Institutt, Johs. Brunsgt. 12, 5008 Bergen, Norway
Email:
gunnar@mi.uib.no
DOI:
10.1090/S0002-9947-00-02054-7
PII:
S 0002-9947(00)02054-7
Keywords:
Space curves,
normal surfaces,
initial ideals
Received by editor(s):
July 4, 1996
Received by editor(s) in revised form:
September 22, 1997
Posted:
August 8, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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