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Walker","submitted_at":"2014-04-01T19:04:03Z","abstract_excerpt":"We develop a theory of ``ad hoc'' Chern characters for twisted matrix factorizations associated to a scheme $X$, a line bundle ${\\mathcal L}$, and a regular global section $W \\in \\Gamma(X, {\\mathcal L})$.\n  As an application, we establish the vanishing, in certain cases, of $h_c^R(M,N)$, the higher Herbrand difference, and, $\\eta_c^R(M,N)$, the higher codimensional analogue of Hochster's theta pairing, where $R$ is a complete intersection of codimension $c$ with isolated singularities and $M$ and $N$ are finitely generated $R$-modules. 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