On the Linearity Defect of the Residue Field
نویسنده
چکیده
Given a commutative Noetherian local ring R, the linearity defect of a finitely generated R-module M , denoted ldR(M), is an invariant that measures how far M and its syzygies are from having a linear resolution. Motivated by a positive known answer in the graded case, we study the question of whether ldR(k) < ∞ implies ldR(k) = 0. We give answers in special cases, and we discuss several interpretations and refinements of the question.
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