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- W2024185720 abstract "Let (A,mA,k) be a local noetherian ring and I an mA-primary ideal. The asymptotic Samuel function (with respect to I) vI¯: A⟶R∪{+∞} is defined by vI¯(x)=limk→+∞ordI(xk)k, ∀x∈A. Similarly, one defines, for another ideal J, vI¯(J) as the minimum of vI¯(x) as x varies in J. Of special interest is the rational number vI¯(mA). We study the behavior of the asymptotic Samuel function (with respect to I) when passing to hyperplane sections of A as one does for the theory of mixed multiplicities." @default.
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- W2024185720 date "2010-05-01" @default.
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- W2024185720 title "Fonction asymptotique de Samuel des sections hyperplanes et multiplicité" @default.
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- W2024185720 doi "https://doi.org/10.1016/j.jpaa.2009.07.015" @default.
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