Title of article
Detecting Flat Normal Cones Using Segre Classes
Author/Authors
Susan Jane Colley، نويسنده , , Gary Kennedy، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
11
From page
182
To page
192
Abstract
Given a flat, projective morphism Y → 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(NZY) 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.
Keywords
associated graded algebra , Segre class , blowup , tangent cones , Specialization
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695658
Link To Document