Displaying similar documents to “Dimension of families of space curves”

Enumerative geometry of divisorial families of rational curves

Ziv Ran (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We compute the number of irreducible rational curves of given degree with 1 tacnode in 2 or 1 node in 3 meeting an appropriate generic collection of points and lines. As a byproduct, we also compute the number of rational plane curves of degree d passing through 3 d - 2 given points and tangent to a given line. The method is ‘classical’, free of Quantum Cohomology.

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

Similarity:

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 m ≥ 1 points. The case m = 1 having already been treated by Eisenbud and Harris in [8], we analyze the situation for m > 1 .

Non-obstructed subcanonical space curves.

Rosa M. Miró-Roig (1992)

Publicacions Matemàtiques

Similarity:

Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme is non-singular. A geometric characterization of non-obstructedness is not known even for smooth space curves. The goal of this work is to prove that subcanonical k-Buchsbaum, k ≤ 2, space curves are non-obstructed. As a main tool we use Serre's correspondence between subcanonical curves and vector bundles.