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7 papers · 2 filters
Generic vanishing fails for singular varieties and in characteristic p>0
Christopher D Hacon, Sándor J Kovács
We show that generic vanishing fails for singular varieties and in characteristic p>0.
Birationality of Berglund-Hübsch-Krawitz Mirrors
Mark Shoemaker
We investigate a multiple mirror phenomenon arising from Berglund-Hübsh-Krawitz mirror symmetry. We prove that the different mirror Calabi-Yau orbifolds which arise in this context…
A Mirror Theorem for the Mirror Quintic
Y. -P. Lee, M. Shoemaker
The celebrated Mirror Theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B m…
ACC for log canonical thresholds
Christopher Hacon, James McKernan, Chenyang Xu
We show that log canonical thresholds satisfy the ACC
Galois groups of Schubert problems of lines are at least alternating
Christopher J. Brooks, Abraham Martin del Campo, Frank Sottile
We show that the Galois group of any Schubert problem involving lines in projective space contains the alternating group. This constitutes the largest family of enumerative problem…
Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic
Yuchen Zhang
We show that if X is a nonsingular projective variety of general type over an algebraically closed field k of positive characteristic and X has maximal Albanese dimension and the A…