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The Eisenbud-Green-Harris Conjecture

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Commutative Algebra

Abstract

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature. We include a final section with some applications, and examples.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, USA

    Giulio Caviglia

  2. Dipartimento di Matematica, Università di Genova, Genova, Italy

    Alessandro De Stefani

  3. Dipartimento di Matematica, Università degli Studi di Pisa, Pisa, Italy

    Enrico Sbarra

Authors
  1. Giulio Caviglia
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  2. Alessandro De Stefani
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  3. Enrico Sbarra
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Corresponding author

Correspondence to Giulio Caviglia .

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Editors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, USA

    Irena Peeva

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Caviglia, G., De Stefani, A., Sbarra, E. (2021). The Eisenbud-Green-Harris Conjecture. In: Peeva, I. (eds) Commutative Algebra. Springer, Cham. https://doi.org/10.1007/978-3-030-89694-2_5

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