The derived category of a locally complete intersection ring

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چکیده

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On the Jacobian Ring of a Complete Intersection

Let f1, . . . , fr ∈ K[x], K a field, be homogeneous polynomials and put F = ∑r i=1 yifi ∈ K[x, y]. The quotient J = K[x, y]/I, where I is the ideal generated by the ∂F/∂xi and ∂F/∂yj , is the Jacobian ring of F . We describe J by computing the cohomology of a certain complex whose top cohomology group is J .

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2019

ISSN: 0001-8708

DOI: 10.1016/j.aim.2019.106752