Sarashina, Akira Anabelian geometry of curves over algebraically closed fields of positive characteristic: the case of one-punctured elliptic curves. (English) Zbl 1455.14061 RIMS Kôkyûroku Bessatsu B83, 235-241 (2020). Summary: This article is an announcement of the author’s recent work on anabelian geometry over algebraically closed fields of positive characteristic. We review some known results in this area and give a sketch of the proof of the main result which concerns reconstruction of curves of \((1,1)\)-type by their geometric fundamental groups. MSC: 14H30 Coverings of curves, fundamental group 14H25 Arithmetic ground fields for curves 14F35 Homotopy theory and fundamental groups in algebraic geometry 14H52 Elliptic curves Keywords:curve; étale fundamental group; positive characteristic PDFBibTeX XMLCite \textit{A. Sarashina}, RIMS Kôkyûroku Bessatsu B83, 235--241 (2020; Zbl 1455.14061) Full Text: Link