Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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A Jacobian Criterion in Ramified Mixed Characteristic
When k is a field, the classical Jacobian criterion computes the singular locus (set of primes p where R_p is singular) of an equidimensional, finitely generated k-algebra as the closed subset defined by an ideal generated by appropriate minors of the so-called Jacobian matrix. Recently, Hochster-Jeffries and Saito have extended this result for algebras over unramified discrete valuation rings of mixed characteristic via the use of p-derivations. In this talk, we state and sketch a proof of an analogous Jacobian criterion for algebras over ramified discrete valuations rings of mixed characteristic
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