VOL. 15 · NO. 3 | 2021
 
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Articles
Aurélien Bajolet, Yuri Bilu, Benjamin Matschke
Algebra Number Theory 15 (3), 569-608, (2021) DOI: 10.2140/ant.2021.15.569
KEYWORDS: modular curves, normalizers, nonsplit Cartan subgroups, Integral points, Serre's uniformity problem, economical modular units, Baker–Davenport method, lattice point enumeration, 11-04, 11G16, 11Y40, 14G05
Paul Balister, Béla Bollobás, Robert Morris, Julian Sahasrabudhe, Marius Tiba
Algebra Number Theory 15 (3), 609-626, (2021) DOI: 10.2140/ant.2021.15.609
KEYWORDS: covering systems, Erdős–Selfridge problem, 11B25, 11A07, 11N35
Manjul Bhargava, Zev Klagsbrun, Robert J. Lemke Oliver, Ari Shnidman
Algebra Number Theory 15 (3), 627-655, (2021) DOI: 10.2140/ant.2021.15.627
KEYWORDS: Elliptic curves, Tate–Shafarevich groups, Selmer groups, abelian varieties, 11G05, 11G10
Pierre Le Boudec
Algebra Number Theory 15 (3), 657-672, (2021) DOI: 10.2140/ant.2021.15.657
KEYWORDS: Fano hypersurfaces, rational points, heights, 11D45, 11G50, 14G05
Aaron Landesman
Algebra Number Theory 15 (3), 673-709, (2021) DOI: 10.2140/ant.2021.15.673
KEYWORDS: Selmer groups, arithmetic statistics, function fields, moduli stacks, 11G05
Eric Rains, Karl Rubin, Travis Scholl, Shahed Sharif, Alice Silverberg
Algebra Number Theory 15 (3), 711-727, (2021) DOI: 10.2140/ant.2021.15.711
KEYWORDS: abelian varieties, polarizations, 14K10, 11G10, 11G15
Remy van Dobben de Bruyn
Algebra Number Theory 15 (3), 729-745, (2021) DOI: 10.2140/ant.2021.15.729
KEYWORDS: Algebraic Geometry, positive characteristic, Hodge cohomology, de Rham cohomology, Grothendieck ring of varieties, birational invariants, 14G17, 14A10, 14E99, 14F40, 14F99
Samuel Le Fourn, Pedro Lemos
Algebra Number Theory 15 (3), 747-771, (2021) DOI: 10.2140/ant.2021.15.747
KEYWORDS: Galois representations of elliptic curves, Serre uniformity problem, nonsplit Cartan subgroup, 11G05, 11G18
Michael J. Larsen, Valery A. Lunts
Algebra Number Theory 15 (3), 773-783, (2021) DOI: 10.2140/ant.2021.15.773
KEYWORDS: Lie algebra cohomology, cohomology of equivariant sheaves, 17B55, 14L30
Yoav Len, Martin Ulirsch
Algebra Number Theory 15 (3), 785-820, (2021) DOI: 10.2140/ant.2021.15.785
KEYWORDS: tropical Prym variety, non-Archimedean uniformization, folded chain of loops, Prym–Brill–Noether locus, 14H40, 14Txx
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