VOL. 11 · NO. 4 | 2017
Ivan Dimitrov, Mike Roth
Algebra Number Theory 11 (4), 767-815, (2017) DOI: 10.2140/ant.2017.11.767 Open Access
KEYWORDS: Homogeneous variety, Littlewood–Richardson coefficient, Borel–Weil–Bott theorem, PRV component., 14F25, 17B10
Melanie Wood, Takehiko Yasuda
Algebra Number Theory 11 (4), 817-840, (2017) DOI: 10.2140/ant.2017.11.817 Open Access
KEYWORDS: mass formulas, local Galois representations, quotient singularities, dualities, the McKay correspondence, equisingularities, stringy invariants, 11S15, 11G25, 14E15, 14E16
Robert Rumely
Algebra Number Theory 11 (4), 841-884, (2017) DOI: 10.2140/ant.2017.11.841 Open Access
KEYWORDS: dynamics, minimal resultant locus, crucial set, repelling fixed points, nonarchimedean weight formula, geometric invariant theory, 37P50, 11S82, 37P05
Florian Sprung
Algebra Number Theory 11 (4), 885-928, (2017) DOI: 10.2140/ant.2017.11.885 Open Access
KEYWORDS: Birch and Swinnerton-Dyer, $p$-adic L-function, Elliptic curve, modular form, Šafarevič–Tate group, Iwasawa theory, 11G40, 11F67, 11R23
Olivier Benoist
Algebra Number Theory 11 (4), 929-959, (2017) DOI: 10.2140/ant.2017.11.929 Open Access
KEYWORDS: Hilbert's 17th problem, sums of squares, Real algebraic geometry, Bloch–Ogus theory, 11E25, 14F20, 14P99
Xuancheng Shao
Algebra Number Theory 11 (4), 961-982, (2017) DOI: 10.2140/ant.2017.11.961 Open Access
KEYWORDS: multiplicative functions, Bombieri–Vinogradov theorem, Gowers norms, 11P32, 11B30, 11N13
Giulio Codogni, Samuel Grushevsky, Edoardo Sernesi
Algebra Number Theory 11 (4), 983-1001, (2017) DOI: 10.2140/ant.2017.11.983 Open Access
KEYWORDS: gauss map, principally polarised abelian varieties, Schottky problem, V-cycles, excess intersection formula, 14K10, 14C17, 14H42
Rankeya Datta, Karen Smith
Algebra Number Theory 11 (4), 1003-1007, (2017) DOI: 10.2140/ant.2017.11.1003 Open Access
KEYWORDS: F-finite valuation rings, divisorial valuations in prime characteristic, 13A35, 13F30, 14B05
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