dd-SEQUENCES AND PARTIAL EULER–POINCARÉ CHARACTERISTICS OF KOSZUL COMPLEX

@inproceedings{Cuong2005ddSEQUENCESAP,
  title={dd-SEQUENCES AND PARTIAL EULER–POINCAR{\'E} CHARACTERISTICS OF KOSZUL COMPLEX},
  author={Nguyen Tu Cuong and Doan Trung Cuong},
  year={2005}
}
The aim of this paper is to introduce a new notion of sequences called dd-sequences and show that this notion may be convenient for studying the polynomial property of partial Euler–Poincare characteristics of the Koszul complex with respect to the powers of a system of parameters. Some results about the dd-sequences, the partial Euler–Poincare characteristics and the lengths of local cohomology modules are also presented in the paper. There are also applications of dd-sequences on the… CONTINUE READING

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