Duality for t- modules: The Difficult Cases

Dawid E. Kędzierski.; Piotr Krasoń

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arXiv · 2606.14399

Duality for t- modules: The Difficult Cases

Dawid E. Kędzierski.·Piotr Krasoń

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Abstract

This paper continues our previous work on duality for Anderson $t$-modules. We study two dimensional triangular t-modules in a specific reduce form. Computer - assisted symbolic computations with matrices over a skew field revealed a reduction pattern for t-modules satisfying the ALD condition. Using this pattern, we prove that such t-modules are isomorphic to their double duals and extend the validity of the Cartier-Nishi theorem and the Weil-Barsotti formula to a substantially broader class of t-modules.

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BibTeX RIS

Dawid E. Kędzierski., Piotr Krasoń. 2026-06-12. Duality for t- modules: The Difficult Cases. https://arxiv.org/abs/2606.14399

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