Normal Sally modules of rank one

Rank-one Drinfeld Modules on Elliptic Curves

The sgn-normalized rank-one Drinfeld modules 4> associated with all elliptic curves E over ¥q for 4 < q < 13 are computed in explicit form. (Such 4> for q < 4 were computed previously.) These computations verify a conjecture of Dormán on the norm of j{) = aq+l and also suggest some interesting new properties of . We prove Dorman's conjecture in the ramified case. We also prove the formula...

Rank One Maximal Cohen-macaulay Modules Over

Sally Modules and Associated Graded Rings

To frame and motivate the goals pursued in the present article we recall that, loosely speaking, the most common among the blowup algebras are the Rees algebra R[It] = ⊕∞ n=0 I ntn and the associated graded ring grI(R) = ⊕∞ n=0 I n/In+1 of an ideal I in a commutative Noetherian local ring (R,m). The three main clusters around which most of the current research on blowup algebras has been develo...

Extensions of Rank One (φ,γ)-modules and Crystalline Representations

Let K be a finite unramified extension of Qp. We parametrize the (φ, Γ)-modules corresponding to reducible two-dimensional Fp-representations of GK and characterize those which have reducible crystalline lifts with certain Hodge-Tate weights.

Additive Preserving Rank One Maps on Hilbert C-modules

In this paper, we characterize a class of additive maps on Hilbert C∗-modules which maps a ”rank one” adjointable operators to another rank one operators.