COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS
Forum of Mathematics, Sigma, Tome 4 (2016)
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We show that, by taking normalizations over certain auxiliary good reduction integral models, one obtains integral models of toroidal and minimal compactifications of PEL-type Shimura varieties which enjoy many features of the good reduction theory studied as in the earlier works of Faltings and Chai’s and the author’s. We treat all PEL-type cases uniformly, with no assumption on the level, ramifications, and residue characteristics involved.
@article{10_1017_fms_2015_31,
author = {KAI-WEN LAN},
title = {COMPACTIFICATIONS {OF} {PEL-TYPE} {SHIMURA} {VARIETIES} {IN} {RAMIFIED} {CHARACTERISTICS}},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {4},
year = {2016},
doi = {10.1017/fms.2015.31},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2015.31/}
}
KAI-WEN LAN. COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS. Forum of Mathematics, Sigma, Tome 4 (2016). doi: 10.1017/fms.2015.31
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