Takeuchi, Daichi Blow-ups and class field theory for curves. (English) Zbl 1461.11101 Algebra Number Theory 13, No. 6, 1327-1351 (2019). Summary: We propose another proof of geometric class field theory for curves by considering blow-ups of symmetric products of curves. Cited in 1 Document MSC: 11G45 Geometric class field theory 14H30 Coverings of curves, fundamental group Keywords:geometric class field theory; ramification theory; generalized Jacobian PDF BibTeX XML Cite \textit{D. Takeuchi}, Algebra Number Theory 13, No. 6, 1327--1351 (2019; Zbl 1461.11101) Full Text: DOI arXiv OpenURL References: [1] 10.1007/978-3-642-51438-8 [2] 10.5802/aif.929 · Zbl 0524.12008 [3] 10.2140/ant.2019.13.1299 · Zbl 1460.11095 [4] 10.1090/conm/083/991978 [5] 10.2307/1969975 · Zbl 0089.26201 [6] ; Laumon, Automorphic forms, Shimura varieties, and L-functions, I. Perspect. Math., 10, 227 (1990) · Zbl 0773.11032 [7] 10.1016/j.jalgebra.2017.11.004 · Zbl 1433.11128 [8] 10.1017/CBO9780511546532 [9] 10.2307/1969715 · Zbl 0058.37002 [10] 10.1007/978-1-4612-1035-1 [11] ; Grothendieck, Revêtements étales et groupe fondamental. Lecture Notes in Math., 224 (1971) · Zbl 0234.14002 [12] ; Artin, Théorie des topos et cohomologie étale des schémas, Tome 3 : Exposés IX-XIX. Lecture Notes in Math., 305 (1973) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.