VOL. 11 · NO. 10 | 2017
David Helm, Yichao Tian, Liang Xiao
Algebra Number Theory 11 (10), 2213-2288, (2017) DOI: 10.2140/ant.2017.11.2213 Open Access
KEYWORDS: Supersingular locus, Special fiber of Shimura varieties, Deligne–Lusztig varieties, Tate conjecture, 11G18, 11R39, 14C17, 14C25, 14G35
Don Blasius, Lucio Guerberoff
Algebra Number Theory 11 (10), 2289-2321, (2017) DOI: 10.2140/ant.2017.11.2289 Open Access
KEYWORDS: Shimura varieties, conjugation, models, 11G18, 11G35, 11E57, 20G30
Min Ru, Julie Tzu-Yueh Wang
Algebra Number Theory 11 (10), 2323-2337, (2017) DOI: 10.2140/ant.2017.11.2323 Open Access
KEYWORDS: Schmidt's subspace theorem, Roth's theorem, diophantine approximation, Vojta's conjecture, 11J97, 11J87, 14G05
Francesc Castella, Chan-Ho Kim, Matteo Longo
Algebra Number Theory 11 (10), 2339-2368, (2017) DOI: 10.2140/ant.2017.11.2339 Open Access
KEYWORDS: Iwasawa theory, Hida theory, Selmer groups, Heegner points, special values of $L$-functions, 11R23, 11F33
Marco Pizzato, Taro Sano, Luca Tasin
Algebra Number Theory 11 (10), 2369-2395, (2017) DOI: 10.2140/ant.2017.11.2369 Open Access
KEYWORDS: weighted complete intersections, nonvanishing, Ambro–Kawamata conjecture, 14M10, 11D04, 14J45
Stefan Patrikis
Algebra Number Theory 11 (10), 2397-2423, (2017) DOI: 10.2140/ant.2017.11.2397 Open Access
KEYWORDS: Galois representations, Kuga–Satake construction, 11F80, 11R37
Chao Li, Yihang Zhu
Algebra Number Theory 11 (10), 2425-2445, (2017) DOI: 10.2140/ant.2017.11.2425 Open Access
KEYWORDS: arithmetic Gan–Gross–Prasad conjectures, arithmetic fundamental lemmas, Rapoport–Zink spaces, special cycles, 11G18, 14G17, 22E55
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