Leavitt path algebras over a poset of fields
Let $E$ be a finite directed graph, and let $I$ be the poset obtained as the antisymmetrization of its set of vertices with respect to a pre-order $\le$ that satisfies $v\le w$ whenever there exists a directed path from $w$ to $v$. Assuming that $I$ is a tree, we define a poset of fields over $I$ as a family $\mathbf K = \{ K_i :i\in I \}$ of fields ...
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Shintani descent for algebraic groups over a finite field, I
In previous papers [Adv. Stud. Pure Math. 6, 207-229 (1985; Zbl 0572.20027), J. Fac. Sci., Univ. Tokyo, Sect I A 34, 599-653 (1987; Zbl 0643.20019)] the author studied Shintani descent (i.e. lifting of characters) for connected reductive groups over a finite field.
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Variants of the Kakeya problem over an algebraically closed field [PDF]
Kaloyan Slavov
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Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras [PDF]
Martin Raum
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Elliptic curves and Hilbert's tenth problem for algebraic function fields over real and p-adic fields [PDF]
Laurent Moret-Bailly
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L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields [PDF]
Douglas Ulmer
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Dense Linear Algebra over Finite Fields: the FFLAS and FFPACK packages [PDF]
Jean‐Guillaume Dumas +2 more
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The cohomology of the Heisenberg Lie algebras over fields of finite characteristic [PDF]
Grant Cairns, Sebastian Jambor
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On the Betti numbers of filiform Lie algebras over fields of characteristic two [PDF]
Ioannis Tsartsaflis
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Asymptotically good 4-quasi transitive algebraic geometry codes over\n prime fields [PDF]
María Chara +2 more
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