SOME VARIANTS OF MACAULAY'S AND MAX NOETHER'S THEOREMS

作者:Wulcan Elizabeth*
来源:Journal of Commutative Algebra, 2010, 2(4): 567-580.
DOI:10.1216/JCA-2010-2-4-567

摘要

We use residue currents on toric varieties to obtain bounds on the support of solutions to polynomial ideal membership problems. Our bounds depend on the Newton polytopes of the polynomial systems and are therefore well adjusted to spare systems of polynomials. We present variants of classical results due to Macaulay and Max Noether.

  • 出版日期2010