MODIFICATION OF A LOCAL RING BY QUADRATIC TRANSFORMATIONS
Abstract
Let R be an excellent local ring, then there exists a non-negative integer N and a sequence of quadratic transformations R = R(,0) (--->) R(,1) (--->) ... (--->) R(,N) such that R(,i) is residually algebraic over R(,i-1) for 1 (LESSTHEQ) i (LESSTHEQ) N, R(,N) is a Macaulay ring and modulo its nilpotents, R(,N) is a regular local domain.
Degree
Ph.D.
Subject Area
Mathematics
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