Kahn's correspondence and Cohen-Macaulay modules over abstract surface and curve singularities
Journal of Singularities, Tome 4 (2012), pp. 68-73
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We generalize Kahn's correspondence between Cohen--Macaulay modules over normal surface singularities over an algebraically closed field and vector bundles over some projective curves to abstract surface singularities, which need not be algebras over a field. As a consequence, we also generalize to the abstract case the Drozd--Greuel criterion for tameness of curve singularities.
@article{10_5427_jsing_2012_4d,
author = {Volodymyr Gavran},
title = {Kahn's correspondence and {Cohen-Macaulay} modules over abstract surface and curve singularities},
journal = {Journal of Singularities},
pages = {68--73},
publisher = {mathdoc},
volume = {4},
year = {2012},
doi = {10.5427/jsing.2012.4d},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4d/}
}
TY - JOUR AU - Volodymyr Gavran TI - Kahn's correspondence and Cohen-Macaulay modules over abstract surface and curve singularities JO - Journal of Singularities PY - 2012 SP - 68 EP - 73 VL - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4d/ DO - 10.5427/jsing.2012.4d ID - 10_5427_jsing_2012_4d ER -
%0 Journal Article %A Volodymyr Gavran %T Kahn's correspondence and Cohen-Macaulay modules over abstract surface and curve singularities %J Journal of Singularities %D 2012 %P 68-73 %V 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.4d/ %R 10.5427/jsing.2012.4d %F 10_5427_jsing_2012_4d
Volodymyr Gavran. Kahn's correspondence and Cohen-Macaulay modules over abstract surface and curve singularities. Journal of Singularities, Tome 4 (2012), pp. 68-73. doi: 10.5427/jsing.2012.4d
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