On the Jacobian ring of a complete intersection
代数几何
2007-05-23 v1 交换代数
摘要
Let f_1,...,f_r be homogeneous polynomials in K[x_1,...,x_n], K a field. Put F=y_1f_1+...+y_rf_r in K[x,y] and let I be the ideal of K[x,y] generated by the partials of F relative to the x_i and y_j. The Jacobian ring of F is the quotient J:=K[x,y]/I. We describe J by computing the cohomology of a certain complex whose top cohomology group is J.
引用
@article{arxiv.math/0610228,
title = {On the Jacobian ring of a complete intersection},
author = {Alan Adolphson and Steven Sperber},
journal= {arXiv preprint arXiv:math/0610228},
year = {2007}
}
备注
28 pages, no figures