TY - JOUR
T1 - Mixed characteristic hypersurfaces of finite Cohen-Macaulay type
AU - Leuschke, Graham J.
N1 - Funding Information:
This work formed part of my doctoral dissertation at the University of Nebraska. It was supported in part by the Maude Hammond Fling Graduate Fellowship and by the Clay Mathematics Institute. I am happy to record my debt to my advisor, Roger Wiegand, for his support, guidance, and encouragement. I also thank Craig Huneke and Daniel Katz for many helpful conversations. Finally, I am grateful to the anonymous referee, whose many comments helped me to correct the content and improve the exposition of the manuscript.
PY - 2002/2/23
Y1 - 2002/2/23
N2 - We define the mixed ADE singularities, which are generalizations of the ADE plane curve singularities to the case of mixed characteristics. The ADE plane curve singularities are precisely the equicharacteristic plane curve singularities of finite Cohen-Macaulay type; we show that the mixed ADE singularities also have finite Cohen-Macaulay type.
AB - We define the mixed ADE singularities, which are generalizations of the ADE plane curve singularities to the case of mixed characteristics. The ADE plane curve singularities are precisely the equicharacteristic plane curve singularities of finite Cohen-Macaulay type; we show that the mixed ADE singularities also have finite Cohen-Macaulay type.
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U2 - 10.1016/S0022-4049(01)00044-5
DO - 10.1016/S0022-4049(01)00044-5
M3 - Article
AN - SCOPUS:0037160679
SN - 0022-4049
VL - 167
SP - 225
EP - 257
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 2-3
ER -