M. Martin-deschamps

activity

19972001

collaborators

4 papers

math.AG2001

Minimalité des courbes sous-canoniques

Mireille Martin-Deschamps

We prove the following result : Let $E$ be a rank 2 bundle on $P$ , the projective space of dimension 3, and $n$ a relative number such that $H^{0} E (n - 1) = 0$ and $H^{0} E (n) \neq = 0$ .…

math.AG1998

Triades et familles de courbes gauches

Robin Hartshorne, Mireille Martin-Deschamps, Daniel Perrin

Let $A$ be a noetherian ring and $R_{A}$ be the graded ring $A [X, Y, Z, T]$ . In this article we introduce the notion of a triad, which is a generalization to families of curves in ${\bf…

alg-geom1997

Construction de familles minimales de courbes gauches

Robin Hartshorne, Mireille Martin-Deschamps, Daniel Perrin

Let $A$ be a local noetherian ring and $N$ be a locally sheaf on the projective space $P_{A}^{3}$ : one proves easily that there exists a family $C$ of (smooth connected) curves contai…

alg-geom1997

Un théorème de Rao pour les familles de courbes gauches

Robin Hartshorne, Mireille Martin-Deschamps, Daniel Perrin

The aim of this paper is to prove a generalization of a theorem of Rao for families of space curves, which caracterizes the biliaison classes of curves. First we introduce the conc…