A Refinement of a Mixed Sparse Effective Nullstellensatz

作者:Tuitman Jan*
来源:International Mathematics Research Notices, 2011, (7): 1560-1572.
DOI:10.1093/imrn/rnq127

摘要

For k >= n + 1 Laurent polynomials f(1),..., f(k) in n variables which are allowed to have different Newton polytopes, we give a generically satisfied criterion under which we can find Laurent polynomials h(1),..., h(k), with particularly small Newton polytopes, such that h(1)f(1) + ... + h(k)f(k) = 1. This gives a refinement of a result of Canny and Emiris.

  • 出版日期2011

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