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4 papers
Symmetries of Fano varieties
Louis Esser, Lena Ji, Joaquín Moraga
We study Fano varieties endowed with a faithful action of a symmetric group, as well as analogous results for Calabi--Yau varieties, and log terminal singularities. We show the exi…
Log canonical pairs with conjecturally minimal volume
Louis Esser, Burt Totaro
We construct log canonical pairs with a nonzero reduced divisor and ample that have the smallest known volume. We conjecture that our examples have the smallest…
Calabi-Yau varieties of large index
Louis Esser, Burt Totaro, Chengxi Wang
Call a projective variety Calabi-Yau if its canonical divisor is -linearly equivalent to zero. The smallest positive integer with linearly equivalent to zer…
Optimal sine and sawtooth inequalities
Louis Esser, Terence Tao, Burt Totaro +1
We determine the optimal inequality of the form , in the sense that is maximal. We also solve exactly the analogous problem for th…