Symbolic powers of ideals

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Abstract

We survey classical and recent results on symbolic powers of ideals. We focus on properties and problems of symbolic powers over regular rings, on the comparison of symbolic and regular powers, and on the combinatorics of the symbolic powers of monomial ideals. In addition, we present some new results on these aspects of the subject.

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Dao, H., De Stefani, A., Grifo, E., Huneke, C., & Núñez-Betancourt, L. (2018). Symbolic powers of ideals. In Springer Proceedings in Mathematics and Statistics (Vol. 222, pp. 387–432). Springer New York LLC. https://doi.org/10.1007/978-3-319-73639-6_13

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