4 citations · 4 across the 5 of their papers we have counts for
7 papers
Directed Unions of Local Quadratic Transforms of a Regular Local Ring
William Heinzer, Mee-Kyoung Kim, Matthew Toeniskoetter
We consider the directed union S of an infinite sequence {(R_n, m_n)} of successive local quadratic transforms of a regular local ring (R, m). If dim R = 2, Abhyankar proves that S…
The Rees Valuations of Complete Ideals in a Regular Local Ring
William Heinzer, Mee-Kyoung Kim
Let I be a complete m-primary ideal of a regular local ring (R,m). In the case where R has dimension two, the beautiful theory developed by Zariski implies that I factors uniquely…
Finitely Supported *-Simple Complete Ideals in a Regular Local Ring
William Heinzer, Mee-Kyoung Kim, Matthew Toeniskoetter
Let I be a finitely supported complete m-primary ideal of a regular local ring (R, m). A theorem of Lipman implies that I has a unique factorization as a *-product of special *-sim…
The Gorenstein and complete intersection properties of associated graded rings
William Heinzer, Mee-Kyoung Kim, Bernd Ulrich
Let I be an m-primary ideal of a Noetherian local ring (R,m). We consider the Gorenstein and complete intersection properties of the associated graded ring G(I) and the fiber cone…
Theorems of Barth-Lefschetz type on Kaehler manifolds of non-negative bisectional curvature
Meeyoung Kim, Jon Wolfson
Theorems of Barth-Lefschetz type describe restrictions on the topology of varieties of small codimension. R. Schoen and J. Wolfson, using Morse theory on a path space, have describ…
Zero Assignment, Pole Placement and Matrix Extension Problems: A Common Point of View
Meeyoung Kim, Joachim Rosenthal, Xiaochang Alex Wang
The paper studies a general inverse eigenvalue problem which contains as special cases many well studied pole placement and matrix extension problems. It is shown that the studied…