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Some Homological Properties of Modules over a Complete Intersection, with Applications

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Commutative Algebra

Abstract

We survey some recent developments in understanding homological properties of finitely generated modules over a complete intersection. These properties mainly concern with vanishing patterns of Ext and Tor functors. We focus on applications to related areas and open questions.

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Acknowledgements

The author would like to thank Jesse Burke and Olgur Celikbas for some useful comments on the materials. He is also grateful to the anonymous referee whose careful reading and suggestions significantly improve the manuscript. The author is partially supported by NSF grants DMS 0834050 and DMS 1104017.

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  1. Department of Mathematics, University of Kansas, Lawrence, KS, 66045-7523, USA

    Hailong Dao

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  1. Hailong Dao
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Correspondence to Hailong Dao .

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  1. Cornell University, 547 Malott Hall, Ithaca, 14853, New York, USA

    Irena Peeva

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Dao, H. (2013). Some Homological Properties of Modules over a Complete Intersection, with Applications. In: Peeva, I. (eds) Commutative Algebra. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5292-8_10

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