Nonsmooth classical points on eigenvarieties

Bellaïche, Joël

Duke Math. J., Tome 141 (2008) no. 1, p. 71-90 / Harvested from Project Euclid

Résumé

We construct nonsmooth points on unitary eigenvarieties. More precisely, we construct points so that the local ring of the irreducible components of the eigenvariety through this point is nonsmooth and not even a unique factorization domain (UFD). We use those points to construct geometrically several independent extensions in the relevant Selmer group

Publié le : 2008-10-01
Classification: 11F33, 11F80

@article{1221656863,
     author = {Bella\"\i che, Jo\"el},
     title = {Nonsmooth classical points on eigenvarieties},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 71-90},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1221656863}
}

Bellaïche, Joël. Nonsmooth classical points on eigenvarieties. Duke Math. J., Tome 141 (2008) no. 1, pp.  71-90. http://gdmltest.u-ga.fr/item/1221656863/