On Canonical Models of Arithmetic Quotients of Bounded Symmetric Domains

1970 ◽  
Vol 91 (1) ◽  
pp. 144 ◽  
Author(s):  
Goro Shimura
2012 ◽  
Vol 273 (1-2) ◽  
pp. 173-210 ◽  
Author(s):  
Jeroen Sijsling

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Harald Upmeier

AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$ D = G / K , for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$ r = rank ( D ) .


2021 ◽  
Vol 31 (6) ◽  
pp. 063129
Author(s):  
E. Baspinar ◽  
D. Avitabile ◽  
M. Desroches

2018 ◽  
Vol 6 ◽  
Author(s):  
WANSU KIM

We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6(2018) e8, 110 MR 3812116].


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