4 papers
Naive atoms of blowups: examples
Christian Böhning, Hans-Christian Graf von Bothmer, Zac Su'a
We define naive atomic decompositions of smooth projective varieties. We show that they satisfy a naive version of Iritani's blowup formula in several examples that are complicated…
Counting Fourier-Mukai partners of cubic fourfolds
Christian Böhning, Christian Böhning, Hans-Christian Graf von Bothmer +1
We develop an algorithm to count the number of virtual Fourier-Mukai partners for a given cubic fourfold, with initial input the primitive algebraic lattice and transcendental Hodg…
Fourier-Mukai partners of non-syzygetic cubic fourfolds and Gale duality
Christian Böhning, Christian Böhning, Hans-Christian Graf von Bothmer +1
We study so-called non-syzygetic cubic fourfolds, i.e., smooth cubic fourfolds containing two cubic surface scrolls in distinct hyperplanes with intersection number between the two…
Explicit bounds on common projective torsion points of elliptic curves
Christian Böhning, Hans-Christian Graf von Bothmer, David Hubbard
Suppose E_1, E_2 are elliptic curves (over the complex numbers) together with standard double coverings of the projective line identifying a point and its inverse on E_i. Bogomolov…