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Buchsbaum and Eisenbud showed that every Gorenstein ideal of grade 3
is generated by the submaximal order pfaffians of an alternating
matrix. In this paper, we describe a method for constructing a class
of type 3, grade 3, perfect ideals which are not Gorenstein. We also
prove that they are algebraically linked to an even type grade 3
almost complete intersection.
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참고문헌 (10)
참고문헌 신청
A. Brown / 1987 / A structure theorem for a class of grade three perfect ideals / J. Algebra 105 : 308 ~ 327
A. Kustin / 1982 / Structure theory for a class of grade four Gorenstein ideals / Trans. Amer. Math. Soc 270 : 287 ~ 307
C. Peskine / 1974 / Liaison des vari´et´es alg´ebriques / Invent. Math 26 : 271 ~ 302
D. A. Buchsbaum / 1977 / Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3 / Amer. J. Math 99 (3) : 447 ~ 485
E. S. Golod / 1980 / A note on perfect ideals, from the collection “Algebra” / Moscow State Univ. Publishing House : 37 ~ 39
A. Kustin / 1982 / Structure theory for a class of grade four Gorenstein ideals / Trans. Amer. Math. Soc 270 : 287 ~ 307
C. Peskine / 1974 / Liaison des vari´et´es alg´ebriques / Invent. Math 26 : 271 ~ 302
D. A. Buchsbaum / 1977 / Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3 / Amer. J. Math 99 (3) : 447 ~ 485
E. S. Golod / 1980 / A note on perfect ideals, from the collection “Algebra” / Moscow State Univ. Publishing House : 37 ~ 39
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