VOL. 13 · NO. 9 | 2019
 
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Articles
Jan Denef
Algebra Number Theory 13 (9), 1983-1996, (2019) DOI: 10.2140/ant.2019.13.1983
KEYWORDS: Conjecture of Colliot-Thélène, Ax–Kochen Theorem, Diophantine equations, p-adic numbers, Forms in many variables, Diophantine geometry, Monomialization, Toroidalization of morphisms, 14G20, 11S05
Amalia Pizarro-Madariaga
Algebra Number Theory 13 (9), 1997-2004, (2019) DOI: 10.2140/ant.2019.13.1997
KEYWORDS: Artin character, Artin conductor, Hilbert class field tower, 11Y40, 20G05
Jianmin Chen, Zhibin Gao, Elizabeth Wicks, James J. Zhang, Xiaohong Zhang, Hong Zhu
Algebra Number Theory 13 (9), 2005-2055, (2019) DOI: 10.2140/ant.2019.13.2005
KEYWORDS: Frobenius–Perron dimension, derived categories, embedding of categories, tame and wild dichotomy, Complexity, 16E10,18E30,16G60, 16E35
Sho Ejiri
Algebra Number Theory 13 (9), 2057-2080, (2019) DOI: 10.2140/ant.2019.13.2057
KEYWORDS: Fano variety, weak Fano variety, anticanonical divisor, restricted base locus, augmented base locus, 14D06, 14J45
Juliette Bruce, Daniel Erman
Algebra Number Theory 13 (9), 2081-2102, (2019) DOI: 10.2140/ant.2019.13.2081
KEYWORDS: Noether normalization, system of parameters, closed point sieve, 13B02, 11G25, 14D10, 14G10, 14G15
Terence Tao, Joni Teräväinen
Algebra Number Theory 13 (9), 2103-2150, (2019) DOI: 10.2140/ant.2019.13.2103
KEYWORDS: multiplicative functions, Chowla's conjecture, Elliott's conjecture, 11N37, 37A45
Rohit Nagpal
Algebra Number Theory 13 (9), 2151-2189, (2019) DOI: 10.2140/ant.2019.13.2151
KEYWORDS: VI-modules, FI-modules, finite general linear groups, representation stability, 20C33, 13D45, 20J05
Nathan Chen
Algebra Number Theory 13 (9), 2191-2198, (2019) DOI: 10.2140/ant.2019.13.2191
KEYWORDS: Irrationality, abelian surface, 14K99, 14E05
Andrew Fiori
Algebra Number Theory 13 (9), 2199-2203, (2019) DOI: 10.2140/ant.2019.13.2199
KEYWORDS: Chebotarev, class groups, 11R44, 11R29
Mihnea Popa, Behrouz Taji, Lei Wu
Algebra Number Theory 13 (9), 2205-2242, (2019) DOI: 10.2140/ant.2019.13.2205
KEYWORDS: Brody hyperbolicity, minimal models, moduli of polarized varieties, varieties of general type, Green–Griffiths–Lang's conjecture, Hodge modules, 14C30, 14D07, 14E30, 14J10, 14J15, 14J29
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