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Quadratic Ideals in Six Variables and the Eisenbud--Green--Harris Conjecture
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
In this paper, we study the Eisenbud--Green--Harris (EGH) conjecture for ideals generated by quadrics.
We establish a sharp lower bound for the dimension of the cubic component of an ideal generated by a regular sequence of six quadrics and two additional quadrics in six variables.
Furthermore, we prove the Eisenbud--Green--Harris conjecture for almost complete intersections of quadrics in six variables.
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