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arxiv: 1805.10903 · v2 · pith:6YYIKUYSnew · submitted 2018-05-28 · 🧮 math.AC

Star operations on Kunz domains

classification 🧮 math.AC
keywords domainsoperationsstarkunzanalyticallyassociatedcaseclass
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We study star operations on Kunz domains, a class of analytically irreducible, residually rational domains associated to pseudo-symmetric numerical semigroups, and we use them to refute a conjecture of Houston, Mimouni and Park. We also find an estimate for the number of star operations in a particular case, and a precise counting in a sub-case.

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