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The TestIdeals package for Macaulay2. (English) Zbl 1442.13001
Summary: We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, \(p^{-e}\)-linear and \(p^e\)-linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given \(p^{-e}\)-linear map.

MSC:
13-04 Software, source code, etc. for problems pertaining to commutative algebra
13A35 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
14F18 Multiplier ideals
14J17 Singularities of surfaces or higher-dimensional varieties
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