On topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic
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DOI: 10.1002/mana.202100053
Abstract: In the present paper, we study anabelian geometry of curves over algebraically closed fields of positive characteristic. Let X• = (X,DX) be a pointed stable curve over an algebraically closed field of characteristic p >… read more here.
Keywords: closed fields; positive characteristic; pointed stable; fields positive ... See more keywords
On the Hilbert schemes of finite algebras over an algebraically closed field
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DOI: 10.1080/00927872.2017.1399409
Abstract: ABSTRACT In this paper, we study properties of the Hilbert schemes of ideals of finite algebras over an algebraically closed field. We prove a duality theorem for the Hilbert schemes of a finite Gorenstein algebra.… read more here.
Keywords: closed field; algebras algebraically; hilbert schemes; algebraically closed ... See more keywords
tt-geometry of Tate motives over algebraically closed fields
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DOI: 10.1112/s0010437x19007528
Abstract: We study Tate motives with integral coefficients through the lens of tensor triangular geometry. For some base fields, including $\overline{\mathbb{Q}}$ and $\overline{\mathbb{F}_{p}}$ , we arrive at a complete description of the tensor triangular spectrum and… read more here.
Keywords: tate motives; algebraically closed; motives algebraically; geometry ... See more keywords