2023arXiv (Cornell University)Open access

A Multitor Formula for a Non-lci Intersection

Oscar Finegan

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Abstract

In this paper we produce the first known formula for cohomologies of the derived tensor products of structure sheaves of subschemes in the case where the intersection of the subschemes is not a local complete intersection. The case covered here is where the intersection instead consists of two local complete intersection components, one of codimension 1 and the other of arbitrary codimension.

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In this paper we produce the first known formula for cohomologies of the derived tensor products of structure sheaves of subschemes in the case where the intersection of the subschemes is not a local complete intersection. The case covered here is where the intersection instead consists of two local complete intersection components, one of codimension 1 and the other of arbitrary codimension.

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Available abstract

In this paper we produce the first known formula for cohomologies of the derived tensor products of structure sheaves of subschemes in the case where the intersection of the subschemes is not a local complete intersection. The case covered here is where the intersection instead consists of two local complete intersection components, one of codimension 1 and the other of arbitrary codimension.

Key concepts: Codimension, Intersection (aeronautics), Complete intersection, Mathematics, Pure mathematics, Tensor (intrinsic definition), Engineering, Transport engineering

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