scholarly journals On the non-triviality of the $p$-adic Abel–Jacobi image of generalised Heegner cycles modulo $p$, I: Modular curves

2020 ◽  
Vol 29 (2) ◽  
pp. 329-371 ◽  
Author(s):  
Ashay A. Burungale
Keyword(s):  
Modular Curves ◽  
Heegner Cycles ◽  
Modulo P

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 Solutions of KZ differential equations modulo p

2018 ◽  
Vol 48 (3) ◽  
pp. 655-683 ◽  
Author(s):  
Vadim Schechtman ◽  
Alexander Varchenko
Keyword(s):  
Differential Equations ◽  
Modulo P
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