Essential dimension of symmetric groups in prime characteristic by Edens, Oakley, Reichstein, Zinovy

Subjects: “…group action on an algebraic variety…”
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Projective varieties have countably many real forms by Labinet, Timothée L.

“…In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. …”
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The connectedness of degeneracy loci in positive characteristic by Lodh, Rémi

“…The proof uses the explicit determination of the top étale cohomology group of an algebraic variety, a result communicated by Esnault.…”
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GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES by Quy Thuong Le

“…This paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These equivalences lead to the identity of certain Grothendieck rings, which allows us to compare the motivic measure of Cluckers-Loeser with that of Denef-Loeser for certain classes of definable subassignments.…”
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Families of jets of arc type and higher (co)dimensional Du Val singularities by de Fernex, Tommaso, Wang, Shih-Hsin

“…Families of jets through singularities of algebraic varieties are here studied in relation to the families of arcs originally studied by Nash. …”
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