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The TestIdeals package
for Macaulay2
Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova, Mordechai Katzman, Sara Malec, Marcus Robinson, Karl Schwede, Daniel Smolkin, Pedro Teixeira and Emily E. Witt
Vol. 9 (2019), 89–110
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Abstract |
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We describe a Macaulay2 package for computations in prime characteristic commutative algebra. This includes those for Frobenius powers and roots, -linear and -linear maps, singularities defined in terms of these maps, different types of test ideals and modules, and ideals compatible with a given -linear map. |
Keywords
Macaulay2, Test ideals, F-regular, F-rational, F-pure,
F-injective, Frobenius root, compatibly split ideals
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Mathematical Subject Classification 2010
Primary: 13A35, 14F18
Secondary: 14J17
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Supplementary materialA package for calculations of singularities in positive characteristic |
Milestones
Received: 19 October 2018
Revised: 13 June 2019
Accepted: 19 July 2019
Published: 16 October 2019
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Authors |
| Alberto F. Boix | |
| Department of Mathematics Ben-Gurion University of the Negev Beer-Sheva Israel |
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| Daniel J. Hernández | |
| Department of Mathematics University of Kansas Lawrence, KS United States |
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| Zhibek Kadyrsizova | |
| School of Science and
Technology Nazarbayev University Astana Kazakhstan |
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| Mordechai Katzman | |
| Department of Pure Mathematics University of Sheffield Sheffield United Kingdom |
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| Sara Malec | |
| Department of Mathematics Hood College Frederick, MD United States |
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| Marcus Robinson | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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| Karl Schwede | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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| Daniel Smolkin | |
| Department of Mathematics University of Utah Salt Lake City, UT United States |
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| Pedro Teixeira | |
| Department of Mathematics Knox College Galesburg, IL United States |
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| Emily E. Witt | |
| Department of Mathematics University of Kansas Lawrence, KS United States |
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