Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE HOMOLOGY OF SCHUR COMPLEXES

  • Choi, Eun-J. (Department of Mathematics Yonsei University) ;
  • Kim, Young-H. (Department of Mathematics Yonsei University) ;
  • Kyoung, Il-H. (Department of Mathematics Yonsei University) ;
  • Won, Seung-J. (Department of Mathematics Yonsei University)
  • Published : 2002.07.01
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Abstract

We give an upper bound for the degrees of the nonvanishing homology modules of the Schur complex L$\sub$λ/${\mu}$/ø in terms of the depths of the determinantal ideals of ø). Using this fact, we obtain the acyclic theorem for L$\sub$λ/ø and the information concerning the support of the homology modules of L$\sub$λ/${\mu}$/ø.

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References

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