A hyperplane restriction theorem and applications to reductions of ideals
نویسندگان
چکیده
Green’s general hyperplane restriction theorem gives a sharp upper bound for the Hilbert function of standard graded algebra over an infinite field K K modulo linear form. We strengthen result by showing that forms do not satisfy such estimate belong to finite union proper spaces. As application we give method derive variations Eakin-Sathaye on reductions. In particular, recover and extend results O’Carroll complete joint
منابع مشابه
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2022
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/bproc/103