140 citations · 357 across the 20 of their papers we have counts for
17 papers · 1 filter
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…
On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold
Nicolas Addington, Franco Giovenzana
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from H^4_prim(Y) to H^2_prim(…