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math.AG2016★ 1 cited
Order 1 congruences of lines with smooth fundamental scheme
Christian Peskine
In this note we present a notion of fundamental scheme for Cohen- Macaulay, order 1, irreducible congruences of lines. We show that such a congruence is formed by the k-secant line…
math.AG2010★ 10 cited
On the smooth locus of aligned Hilbert schemes: the k-secant lemma and the general projection theorem
Laurent Gruson, Christian Peskine
Let X be a smooth, connected, dimension n, quasi-projective variety imbedded in \PP_N. Consider integers {k_1,...,k_r}, with k_i>0, and the Hilbert Scheme H_{k_1,...,k_r}(X) of ali…