Anderson and Gorenstein Duality

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Abstract

The paper relates the Gorenstein duality statements of Dwyer, Greenlees, Iyengar (Adv Math 200(2):357–402, 2006, [1]), Dwyer, Greenlees, Iyengar (J K-Theory 8(1):107–133, 2011, [2]) to the Anderson duality statements of Vesna Stojanoska (Duality for Topological Modular Forms, ProQuest LLC, Ann Arbor, MI, 2011, Thesis (Ph.D.)–Northwestern University, [3]), Vesna Stojanoska (Doc Math 17:271–311, 2012, [4]), and explains how to use local cohomology and invariant theory to understand the numerology of shifts in simple cases.

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Greenlees, J. P. C., & Stojanoska, V. (2018). Anderson and Gorenstein Duality. In Springer Proceedings in Mathematics and Statistics (Vol. 242, pp. 105–130). Springer New York LLC. https://doi.org/10.1007/978-3-319-94033-5_5

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