A note on the Hilbert scheme of curves of degree and genus .
Sabadini, I. (2001)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Numerical curves and their applications to algebraic curves”
A note on the Hilbert scheme of curves of degree and genus .
Gorenstein liaison of some curves in P.
Joshua Lesperance (2001)
Collectanea Mathematica
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Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in P with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P with isomorphic deficiency modules and show...
Weierstrass points and Weierstrass pairs on singular plane curves.
Ballico, E. (2000)
Mathematica Pannonica
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Curves on a double surface.
Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
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Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...
A classification scheme and characterization of certain curves
Eldon Jon Vought (1969)
Colloquium Mathematicae
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Riemann existence theorem and construction of real algebraic curves
Stepan Yu. Orevkov (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Smoothness and irreducibility of varieties of plane curves with nodes and cusps
Eugenii Shustin (1994)
Bulletin de la Société Mathématique de France
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Limit Weierstrass schemes on stable curves with 2 irreducible components
Marc Coppens, Letterio Gatto (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at points. The case having already been treated by Eisenbud and Harris in [8], we analyze the situation for .