In number theory, an eigencurve is a rigid analytic curve that parametrizes certain p-adic families of modular forms, and an eigenvariety is a higher-dimensional generalization of this. Eigencurves were introduced by txt, and the term "eigenvariety" seems to have been introduced around 2001 by txt.
References
- Buzzard, Kevin (2007), "Eigenvarieties", L-functions and Galois representations, Vol. 320, London Math. Soc. Lecture Note Ser., Cambridge University Press, pp. 59–120, doi:10.1017/CBO9780511721267.004. ISBN 978-0-521-69415-5. MR 2392353
- Coleman, R. & Mazur, Barry (1998), "The eigencurve", Galois representations in arithmetic algebraic geometry (Durham, 1996), Vol. 254, London Math. Soc. Lecture Note Ser., Cambridge University Press, pp. 1–113, doi:10.1017/CBO9780511662010.003. ISBN 9780511662010. MR 1696469