An Artin-Rees Theorem and applications to zero cycles
英文摘要:
We prove an Artin-Rees type theorem for algebraic cycles and give an application to zero cycles.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
Amalendu Krishna
We prove an Artin-Rees type theorem for algebraic cycles and give an application to zero cycles.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
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We interpret the Artin-Rees lemma and the Izumi theorem in term of Artin function and we obtain a stable version of the Artin-Rees lemma. We present different applications of these interpretations. First we show that the Artin function of $X_1X_2-X_3X_4$, as a polynomial in the ring of power series in more than three variables, is not bounded by an affine function. Then we prove that the Artin functions of a class of polynomials are bounded by affine functions and we use this to compute approximated integral closures of ideals.
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