Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX

  • Kang, Oh-Jin (Department of Mathematics School of Natural Sciences University of Incheon) ;
  • Kim, Joohyung (Department of Mathematics Education Wonkwang University)
  • Received : 2012.03.12
  • Accepted : 2012.06.05
  • Published : 2012.06.30
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Abstract

The authors [6] introduced the concept of a complete matrix of grade $g$ > 3 to describe a structure theorem for complete intersections of grade $g$ > 3. We show that a complete matrix can be used to construct the Eagon-Northcott complex [7]. Moreover, we prove that it is the minimal free resolution $\mathbb{F}$ of a class of determinantal ideals of $n{\times}(n+2)$ matrices $X=(x_{ij})$ such that entries of each row of $X=(x_{ij})$ form a regular sequence and the second differential map of $\mathbb{F}$ is a matrix $f$ defined by the complete matrices of grade $n+2$.

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References

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