VOL. 12 · NO. 7 | 2018
 
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Articles
Marcin Chałupnik, Piotr Kowalski
Algebra Number Theory 12 (7), 1559-1580, (2018) DOI: 10.2140/ant.2018.12.1559
KEYWORDS: rational cohomology, difference algebraic group, difference cohomology, 12H10, 14L15, 20G05
Peter Humphries
Algebra Number Theory 12 (7), 1581-1610, (2018) DOI: 10.2140/ant.2018.12.1581
KEYWORDS: Selberg eigenvalue conjecture, Ramanujan conjecture, 11F72, 11F30
Paul Hamacher, Eva Viehmann
Algebra Number Theory 12 (7), 1611-1634, (2018) DOI: 10.2140/ant.2018.12.1611
KEYWORDS: affine Deligne–Lusztig variety, Rapoport–Zink spaces, affine Grassmannian, 14G35, 20G25
Yohsuke Matsuzawa, Kaoru Sano, Takahiro Shibata
Algebra Number Theory 12 (7), 1635-1657, (2018) DOI: 10.2140/ant.2018.12.1635
KEYWORDS: arithmetic degree, dynamical degrees, arithmetic dynamics, 14G05, 11G35, 11G50, 37P05, 37P15, 37P30
Raymond Heitmann, Linquan Ma
Algebra Number Theory 12 (7), 1659-1674, (2018) DOI: 10.2140/ant.2018.12.1659
KEYWORDS: big Cohen–Macaulay algebras, direct summand conjecture, perfectoid space, vanishing conjecture for maps of Tor, pseudorational singularities, 13D22, 13H05
Gianmarco Chinello
Algebra Number Theory 12 (7), 1675-1713, (2018) DOI: 10.2140/ant.2018.12.1675
KEYWORDS: equivalence of categories, blocks, modular representations of p-adic reductive groups, type theory, semisimple types, Hecke algebras, level-0 representations, 20C20, 22E50
Junyi Xie
Algebra Number Theory 12 (7), 1715-1748, (2018) DOI: 10.2140/ant.2018.12.1715
KEYWORDS: algebraic dynamics, perfectoid space, 37P55, 37P20, 37P35
Dragos Ghioca, Khoa Dang Nguyen
Algebra Number Theory 12 (7), 1749-1771, (2018) DOI: 10.2140/ant.2018.12.1749
KEYWORDS: dynamical Pink–Zilber conjecture, heights, 11G50, 11G35, 14G25
Tobias Fritz, Siddhartha Gadgil, Apoorva Khare, Pace Nielsen, Lior Silberman, Terence Tao
Algebra Number Theory 12 (7), 1773-1786, (2018) DOI: 10.2140/ant.2018.12.1773
KEYWORDS: homogeneous length function, pseudolength function, quasimorphism, Banach space embedding, 20F12, 20F65
Ben Blum-Smith, Sophie Marques
Algebra Number Theory 12 (7), 1787-1821, (2018) DOI: 10.2140/ant.2018.12.1787
KEYWORDS: invariant theory, modular invariant theory, henselization, Stanley–Reisner, Cohen–Macaulay, commutative ring, Finite group, 13A50, 05E40
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