2 citations · 7 across the 9 of their papers we have counts for
10 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…
Minimal log discrepancies of hypersurface mirrors
Louis Esser
For certain quasismooth Calabi-Yau hypersurfaces in weighted projective space, the Berglund-Hübsch-Krawitz (BHK) mirror symmetry construction gives a concrete description of the mi…
Automorphisms of weighted projective hypersurfaces
Louis Esser
We prove several results concerning automorphism groups of quasismooth complex weighted projective hypersurfaces; these generalize and strengthen existing results for hypersurfaces…
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…
Quotient singularities in the Grothendieck ring of varieties
Louis Esser, Federico Scavia
Let be a finite group, be a smooth complex projective variety with a faithful -action, and be a resolution of singularities of . Larsen and Lunts asked whether…
On explicit birational geometry for minimal n-folds of canonical dimension n-1
Meng Chen, Louis Esser, Chengxi Wang
Let be any integer. We study the optimal lower bound of the canonical volume and the optimal upper bound of the canonical stability index for min…
Varieties of general type with doubly exponential asymptotics
Louis Esser, Burt Totaro, Chengxi Wang
We construct smooth projective varieties of general type with the smallest known volume and others with the most known vanishing plurigenera in high dimensions. The optimal volume…
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…
Non-torsion Brauer groups in positive characteristic
Louis Esser
Unlike the classical Brauer group of a field, the Brauer-Grothendieck group of a singular scheme need not be torsion. We show that there exist integral normal projective surfaces o…