scholarly journals Modular curves and the eisenstein ideal

1977 ◽  
Vol 47 (1) ◽  
pp. 33-186 ◽  
Author(s):  
B. Mazur
Keyword(s):  
Modular Curves ◽  
Eisenstein Ideal

scholarly journals ON THE EISENSTEIN IDEAL OF DRINFELD MODULAR CURVES

2007 ◽  
Vol 03 (04) ◽  
pp. 557-598 ◽  
Author(s):  
AMBRUS PÁL
Keyword(s):  
Prime Ideal ◽  
Hecke Algebra ◽  
General Characteristic ◽  
Drinfeld Modules ◽  
Modular Curves ◽  
Characteristic P ◽  
Modular Curve ◽  
Drinfeld Modular Curves ◽  
Eisenstein Ideal

Let 𝔈(𝔭) denote the Eisenstein ideal in the Hecke algebra 𝕋(𝔭) of the Drinfeld modular curve X0(𝔭) parameterizing Drinfeld modules of rank two over 𝔽q[T] of general characteristic with Hecke level 𝔭-structure, where 𝔭 ◃ 𝔽q[T] is a non-zero prime ideal. We prove that the characteristic p of the field 𝔽q does not divide the order of the quotient 𝕋(𝔭)/𝔈(𝔭) and the Eisenstein ideal 𝔈(𝔭) is locally principal.

scholarly journals On the genus of some modular curves of level N

1996 ◽  
Vol 54 (2) ◽  
pp. 291-297 ◽  
Author(s):  
Chang Heon Kim ◽  
Ja Kyung Koo
Keyword(s):  
Modular Curves

We estimate the genus of the modular curves X1(N).

Zeta functions of twisted modular curves

2006 ◽  
Vol 80 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Cristian Virdol
Keyword(s):  
Zeta Function ◽  
Galois Group ◽  
Complex Plane ◽  
Zeta Functions ◽  
Modular Curves ◽  
Absolute Galois Group ◽  
Modular Curve ◽  
The Absolute

AbstractIn this paper we compute and continue meromorphically to the whole complex plane the zeta function for twisted modular curves. The twist of the modular curve is done by a modprepresentation of the absolute Galois group.

scholarly journals On the Eisenstein ideal over function fields

2016 ◽  
Vol 161 ◽  
pp. 384-434 ◽  
Author(s):  
Mihran Papikian ◽  
Fu-Tsun Wei
Keyword(s):  
Function Fields ◽  
Eisenstein Ideal
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