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6 papers · 2 filters
Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem
D. V. Osipov
The Bott-Thurston cocycle is a -cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of Bott-Thurston cocycle. Th…
Birational automorphism groups of Severi-Brauer surfaces over the field of rational numbers
Anastasia V. Vikulova
We prove that the only non-trivial finite subgroups of birational automorphism group of non-trivial Severi--Brauer surfaces over the field of rational numbers are~$\mathbb{Z}/3\mat…
Jordan constant for Cremona group of rank 2 over a finite field
Anastasia V. Vikulova
In this paper we find the exact value of the Jordan constant for Cremona group of rank over all finite fields. During the proof we construct a cubic surface over …
Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties
Vladimir L. Popov
A new infinite series of rational affine algebraic varieties is constructed whose automorphism group contains the automorphism group of the free group of ran…
Categorical absorptions of singularities and degenerations
Alexander Kuznetsov, Evgeny Shinder
We introduce the notion of categorical absorption of singularities: an operation that removes from the derived category of a singular variety a small admissible subcategory respons…
Two-dimensional diffusion orthogonal polynomials ordered by a weighted degree
Stepan Orevkov
We study the following problem: describe the triplets , , where is the (co)metric associated with the symmetric second order differential operato…