automorphism groups 1contractible -1 curves 1cubic surfaces 1Markov type 1open algebraic surfaces 1triangle surfaces 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AG2026
Open surfaces with a triangle at infinity
Dmitriy Chunaev, Alexander Perepechko, Daniil Shunin
The paper classifies open algebraic surfaces whose compactifications contain a triangle of contractible (‑1)-curves, shows these affine surfaces coincide with cubic surfaces of Mar…
math.RT2025
Orbits of spherical representations and Pyasetskii duality
Daniil Shunin
Dual representations and of a complex connected algebraic group simultaneously have either infinitely or finitely many orbits. Whenever the latter holds, the orbits i…