Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity | Sciact - Система учета научной деятельности ИМ СО РАН

Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity Научная публикация

Журнал

Journal of Algebra and its Applications
ISSN: 0219-4988

Вых. Данные

Год: 2025, Номер статьи : 2650028, Страниц : DOI: 10.1142/s0219498826500283

Ключевые слова

Anderson t-motives, lattice map

Авторы

Grishkov A. ^1,2,3 , Logachev D. ⁴

Организации

1	Instituto de Matem´atica e estatisticaUniversidade de S˜ao Paulo
2	Omsk State University n.a. F.M.Dostoevskii
3	Sobolev Institute of Mathematics, Omsk, Russia
4	Departamento de Matem´atica Universidade Federal do Amazonas

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

FWNF-2022-0003

Let M be an uniformizable Anderson t-motive and L(M) its lattice. First, we prove by an explicit construction that for the non-mixed M, the lattice map M→ L(M) is not injective. Second, we show that ∃ lattices L0 such that L0= L(M) for pure M, but ∃ a non-pure M such that L0 = L(M). This is a result towards surjectivity of the lattice map. The t-motives used in the proofs are non-pure t-motives of dimension 2, rank 3. Finally, we start calculations in order to answer a question whether all non-pure t-motives of dimension 2, rank 3 are uniformizable, or not.

Grishkov A. , Logachev D.
Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity
Journal of Algebra and its Applications. 2025. 2650028 . DOI: 10.1142/s0219498826500283 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	10 июл. 2024 г.
Принята к публикации:	27 авг. 2024 г.
Опубликована online:	27 нояб. 2024 г.

Web of science:	WOS:001369984800001
Scopus:	2-s2.0-85210961618
РИНЦ:	74148190
OpenAlex:	W4402325088

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