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• W2962281046 abstract "The symbolic analytic spread of an ideal $I$ is defined in terms of the rate of growth of the minimal number of generators of its symbolic powers. In this article we find upper bounds for the symbolic analytic spread under certain conditions in terms of other invariants of $I$. Our methods also work for more general systems of ideals. As applications we provide bounds for the (local) Kodaira dimension of divisors, the arithmetic rank, and the Frobenius complexity. We also show sufficient conditions for an ideal to be a set-theoretic complete intersection." @default.
• W2962281046 created "2019-07-23" @default.
• W2962281046 creator A5009528753 @default.
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• W2962281046 date "2019-07-16" @default.
• W2962281046 modified "2023-10-03" @default.
• W2962281046 title "Symbolic analytic spread: upper bounds and applications" @default.
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• W2962281046 doi "https://doi.org/10.48550/arxiv.1907.07081" @default.
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