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Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes Scherotzke, Sarah ; ; in Documenta Mathematica (2020) Detailed reference viewed: 17 (0 UL)On Galois Representations of Weight One Wiese, Gabor in Documenta Mathematica (2014), 19 A two-dimensional Galois representation into the Hecke algebra of Katz modular forms of weight one over a finite field of characteristic p is constructed and is shown to be unramified at p in most cases. Detailed reference viewed: 44 (3 UL)Quillen homology for operads via Gröbner bases Dotsenko, Vladimir ; in Documenta Mathematica (2013), 18 Detailed reference viewed: 26 (1 UL)Dihedral Galois representations and Katz modular forms Wiese, Gabor in Documenta Mathematica (2004), 9 We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of ... [more ▼] We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of level N, character \epsilon and weight k, where N is the conductor, \epsilon is the prime-to-p part of the determinant and k is the so-called minimal weight of \rho. In particular, k=1 if and only if \rho is unramified at p. Direct arguments are used in the exceptional cases, where general results on weight and level lowering are not available. [less ▲] Detailed reference viewed: 58 (2 UL) |
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