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A note on complete intersections of height three |
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| Authors: | Junzo Watanabe |
| Institution: | Department of Mathematical Sciences, Tokai University, Hiratsuka 259-1292, Japan |
| Abstract: | Let  be a field of characteristic 0. If ![$I \subset kx,y,z]$](http://www.ams.org/proc/1998-126-11/S0002-9939-98-04477-3/gif-abstract/img2.gif){kind=small} is a complete intersection generated by three homogeneous elements of degrees  with  , then the reduction of  by a general linear form is minimally generated by three elements if and only if  . |
| Keywords: | Homogeneous Artinian algebra complete intersection weak Lefschetz condition |
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