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arXiv · 2506.14228

On the core and adjoint of the product of complete ideals in two-dimensional regular local rings

Clare D'Cruz·Saipriya Dubey·Jugal K. Verma
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Abstract

Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a generalization of the Brian\c{c}on-Skoda theorem due to D. Rees and J. D. Sally.

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Clare D'Cruz, Saipriya Dubey, Jugal K. Verma. 2025-06-17. On the core and adjoint of the product of complete ideals in two-dimensional regular local rings. https://arxiv.org/abs/2506.14228

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