Weekly Activities

Cohomological Hilbert-Samuel polynomials of principal ideals
Speaker:Đoàn Trung Cường

Time: 9h00, Wednesday, December 3, 2014

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi:

Abstract: We prove that if $I$ is principal ideal in a local ring $(R, \mathfrak m)$ then the function $\ell_R(H^0_{\mathfrak m}(R/I^{n+1}))$ is a polynomial for $n$ big enough. We give a formula expressing the leading coefficient of this polynomial in terms of length of certain local cohomology modules and usual multiplicity.

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