Explicit deformation of Galois representations.
Nigel Boston (1991)
Inventiones mathematicae
Similarity:
Nigel Boston (1991)
Inventiones mathematicae
Similarity:
Álvaro Lozano-Robledo (2005)
Acta Arithmetica
Similarity:
Michael A. Bennett, Imin Chen, Sander R. Dahmen, Soroosh Yazdani (2014)
Acta Arithmetica
Similarity:
We study coprime integer solutions to the equation a³ + b³ⁿ = c² using Galois representations and modular forms. This case represents perhaps the last natural family of generalized Fermat equations descended from spherical cases which is amenable to resolution using the so-called modular method. Our techniques involve an elaborate combination of ingredients, ranging from ℚ-curves and a delicate multi-Frey approach, to appeal to intricate image of inertia arguments.
Robert C. Valentini (1986)
Mathematische Zeitschrift
Similarity:
Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
Similarity:
Shankar Sen (1993)
Inventiones mathematicae
Similarity:
Adam Logan (2002)
Acta Arithmetica
Similarity:
Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)
Experimental Mathematics
Similarity:
Makoto Matsumoto (1996)
Journal für die reine und angewandte Mathematik
Similarity:
Pilar Bayer, Gerhard Frey (1991)
Mathematische Zeitschrift
Similarity:
Chandrashekhar Khare (1998)
Manuscripta mathematica
Similarity:
B. Mazur (1997)
Collectanea Mathematica
Similarity:
I hope this article will be helpful to people who might want a quick overview of how modular representations fit into the theory of deformations of Galois representations. There is also a more specific aim: to sketch a construction of a point-set topological'' configuration (the image of an infinite fern'') which emerges from consideration of modular representations in the universal deformation space of all Galois representations. This is a configuration hinted previously, but now, thanks...
Richard Taylor (1989)
Inventiones mathematicae
Similarity: