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Detecting flat normal cones using Segre classes by Colley, S. J.; Kennedy, G. is a scholarly article available to read on EtoBox.

What is Detecting flat normal cones using Segre classes about?

Given a flat, projective morphism $Y \to T$ from an equidimensional scheme to a nonsingular curve and a subscheme $Z$ of $Y$, we give conditions under which specialization of the Segre class $s(N_{Z}Y)$ of the normal cone of $Z$ in $Y$ implies flatness of the normal cone. We apply this result to study when the relative tangent star cone of a flat family is flat.

Author

Colley, S. J.; Kennedy, G.

Published

2000

Language

EN