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math.AG2026
Non-commutative Fano varieties and three-dimensional minifolds
Konstantin Loginov, Dmitri Orlov
We introduce notions of non-commutative Fano varieties and non-commutative minifolds, and study the latter in dimension three. We prove that the Euler matrices of full exceptional…
math.AG2026
Unirational del Pezzo surfaces of degree one
Ivan Cheltsov, Konstantin Loginov, Dmitri Orlov +1
We construct explicit unirational del Pezzo surfaces of degree with arithmetic Picard rank one over , , and . Moreover, we prove that e…