Abstract
We apply the theory of residues to characterize the substitutes for the sheaves of principal parts on Gorenstein, projective curves introduced by Laksov and Thorup [6], and we compare, these substitutes with those introduced by the author [2, 3]. Our characterization extends a characterization by Atiyah of the sheaves of first order principal parts with coefficients in an invertible sheaf on smooth curves [1, Prop. 12].
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References
Atiyah, M.Complex analytic connections in fibre bundles. Am. Math. Soc.85 (1957), 181–207.
Esteves, E.The presentation functor and Weierstrass, theory for families of local complete intersection curves. M.I.T. Ph.D. Thesis, (1994).
Esteves, E.Wronski algebra systems. To appear in Ann. Sci. École Norm. Sup.
Hartshorne, R.Algebraic Geometry. Springer Verlag GTM,52, (1977).
Kaji, H.On the tangentially degenerate curves. J. London Math. Soc. (2),33, (1986), 430–440
Laksov, D. and Thorup, A.Weierstrass points and gap sequences for families of curves. Ark. Mat.32, (1994), 393–422.
Lang, S.Introduction to Arakelov theory. Springer-Verlag, (1988).
Lipman, J.Dualizing sheaves, differentials and residues on algebraic varieties. Astérisque117, (1984).
Serre, J.-P.Groupes algébriques et corps de classes. Hermann, Paris, (1959)
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Supported by CNPq, Proc. 202151/90.5, and an MIT Japan Program Starr fellowship.
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Esteves, E. Wronski algebra systems and residues. Bol. Soc. Bras. Mat 26, 229–243 (1995). https://doi.org/10.1007/BF01236996
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DOI: https://doi.org/10.1007/BF01236996