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Publication

Computing generalized Frobenius powers of monomial ideals

Francisco, Christopher A.
Mastroeni, Matthew
Mermin, Jeffrey
Schweig, Jay
Abstract
Generalized Frobenius powers of an ideal were introduced in [HTW18] as characteristic-dependent analogs of test ideals. However, little is known about the Frobenius powers and critical exponents of specific ideals, even in the monomial case. We describe an algorithm to compute the critical exponents of monomial ideals, and use this algorithm to prove some results about their Frobenius powers and critical exponents. Rather than using test ideals, our algorithm uses techniques from linear optimization.
Date
2020-05-29