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math.AG2023
Coregularity of smooth Fano threefolds
Artem Avilov, Konstantin Loginov, Victor Przyjalkowski
We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreove…
math.AG2023
Boundedness of log Fano pairs with certain K-stability
Konstantin Loginov, Chuyu Zhou
We prove several boundedness results for log Fano pairs with certain K-stability. In particular, we prove that K-semistable log Fano pairs of Maeda type form a log bounded family.…