VOL. 10 · NO. 6 | 2016
Samuele Anni, Samir Siksek
Algebra Number Theory 10 (6), 1147-1172, (2016) DOI: 10.2140/ant.2016.10.1147 Open Access
KEYWORDS: Elliptic curves, modularity, Galois representation, level lowering, irreducibility, generalized Fermat, Fermat–Catalan, Hilbert modular forms, 11D41, 11F80, 11G05, 11F41
David Stapleton
Algebra Number Theory 10 (6), 1173-1190, (2016) DOI: 10.2140/ant.2016.10.1173 Open Access
KEYWORDS: Hilbert schemes of surfaces, vector bundles on surfaces, Fourier–Mukai transforms, slope-stability, spectral curves, log tangent bundle, tautological bundles, Hilbert schemes of points, 14J60
Stefan Patrikis, José Voloch, Yuri Zarhin
Algebra Number Theory 10 (6), 1191-1219, (2016) DOI: 10.2140/ant.2016.10.1191 Open Access
KEYWORDS: Anabelian geometry, moduli spaces, abelian varieties, descent obstruction, 11G35, 14G05, 14G35
Jay Daigle, Matthias Flach
Algebra Number Theory 10 (6), 1221-1275, (2016) DOI: 10.2140/ant.2016.10.1221 Open Access
KEYWORDS: Tamagawa number conjecture, 14F20, 11G40, 18F10, 22A99
Jan Hendrik Bruinier, Yingkun Li
Algebra Number Theory 10 (6), 1277-1300, (2016) DOI: 10.2140/ant.2016.10.1277 Open Access
KEYWORDS: Singular moduli, generalized Jacobian, Heegner point, Borcherds product, harmonic Maass form, 14G35, 14H40, 11F27, 11F30
Vytautas Paškūnas
Algebra Number Theory 10 (6), 1301-1358, (2016) DOI: 10.2140/ant.2016.10.1301 Open Access
KEYWORDS: $p$-adic Langlands, Fontaine–Mazur, modularity lifting, 11F80
Michael Larsen, Aner Shalev
Algebra Number Theory 10 (6), 1359-1371, (2016) DOI: 10.2140/ant.2016.10.1359 Open Access
KEYWORDS: Tits alternative, residually finite, virtually solvable, probabilistic identity, profinite completion, 20G15, 20E18
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