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math.AG2024
Homological stability fails for the Cremona groups, yet their stable homology is non-trivial
Markus Szymik
The Cremona groups are the groups of all birational transformations of rational varieties, or, in other words, the groups of all automorphisms of rational function fields. These gr…
math.NT2024
Artin-Schreier quandles of involutions in absolute Galois groups
Markus Szymik
We introduce a new invariant of fields that refines their real spectrum and is related to their absolute Galois group: the Artin-Schreier quandle. For formally real number fields,…