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A CHARACTERIZATION OF SPECIAL SUBVARIETIES
Author(s) -
Ullmo Emmanuel,
Yafaev Andrei
Publication year - 2011
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579311001628
Subject(s) - mathematics , characterization (materials science) , pure mathematics , algebra over a field , nanotechnology , materials science
We prove that an algebraic subvariety of a Shimura variety is weakly special if and only if analytic components of its preimage in the symmetric space are algebraic. We also prove an analogous result in the case of abelian varieties.