Bass numbers of local cohomology of cover ideals of graphs
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hdl:2117/341264
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Data publicació2019
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Abstract
We develop splitting techniques to study Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally we are able to compute all the Bass numbers and the shape of the injective resolution of local cohomology modules by considering the connected components of all the induced subgraphs. Indeed our method gives us a very simple criterion for the vanishing of these local cohomology modules in terms of the number of connected components of the induced subgraphs.
CitacióAlvarez, J.; Sohrabi, F. Bass numbers of local cohomology of cover ideals of graphs. 2019.
URL repositori externhttps://arxiv.org/abs/1905.09521
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