140 citations · 357 across the 20 of their papers we have counts for
20 papers
On an example of Aspinwall, Morrison, and Szendrői
Nicolas Addington, Benjamin Tighe
We study the cohomology of a 1-parameter family Y_t of Calabi-Yau 3-folds introduced by Aspinwall and Morrison, related to the mirror quintic family. Szendrői proved that Y_t, Y_{x…
The Lichtenbaum-Quillen dimension of complex varieties
Nicolas Addington, Elden Elmanto
The Lichtenbaum-Quillen conjecture for smooth complex varieties states that algebraic and topological K-theory with finite coefficients become isomorphic in high degrees. We define…
Small resolutions of special three-dimensional varieties
Jürgen Werner, Simon Venter, Nicolas Addington
This is an English translation of Werner's 1987 dissertation "Kleine Auflösungen spezieller dreidimensionaler Varietäten," originally published as Bonner Mathematische Schriften No…
Hodge numbers are not derived invariants in positive characteristic
Nicolas Addington, Daniel Bragg
We study a pair of Calabi-Yau threefolds X and M, fibered in non-principally polarized Abelian surfaces and their duals, and an equivalence D^b(X) = D^b(M), building on work of Gro…
A categorical sl_2 action on some moduli spaces of sheaves
Nicolas Addington, Ryan Takahashi
We study certain sequences of moduli spaces of sheaves on K3 surfaces, building on work of Markman, Yoshioka, and Nakajima. We show that these sequences can be given the structure…
A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold
Sachi Hashimoto, Katrina Honigs, Alicia Lamarche +1
In this paper we investigate the -rational points of a class of simply connected Calabi-Yau threefolds, which were originally studied by Hosono and Takagi in the contex…