论文信息 - The Improved New Intersection Theorem revisited

The Improved New Intersection Theorem revisited

. We prove a generalized version of Evans and Griﬃth’s Improved New Intersection Theorem: Let I be an ideal in a local ring R . If a ﬁnite free R -complex, concentrated in nonnegative degrees, has I -torsion homology in positive degrees, and the homology in degree 0 has an I -torsion minimal generator, then the length of the complex is at least dim R − dim R/I . This improves the bound ht I obtained by Avramov, Iyengar, and Neeman in 2018.

L. Christensen | Luigi Ferraro

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