102 citations · 404 across the 42 of their papers we have counts for
49 papers
The K3 category of a cubic fourfold -- an update
Daniel Huybrechts
We revisit the paper with the same title from a few years back, review subsequent developments and highlight some open questions. The exposition avoids the more technical points an…
Chow groups of surfaces of lines in cubic fourfolds
Daniel Huybrechts
The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts, one of which resembles a K3 surface. We define the analogue of the Beauville-V…
Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds
Olivier Debarre, Daniel Huybrechts, Emanuele Macrì +1
We prove that a hyper-Kähler fourfold satisfying a mild topological assumption is of K3 deformation type. This proves in particular a conjecture of O'Grady stating that hyp…
Characteristic foliations -- a survey
Fabrizio Anella, Daniel Huybrechts
This is a survey article, with essentially complete proofs, of a series of recent results concerning the geometry of the characteristic foliation on smooth divisors in compact hype…
Nodal quintic surfaces and lines on cubic fourfolds
Daniel Huybrechts, with an appendix by John Ottem
We study nodal quintic surfaces with an even set of 16 nodes as analogues of singular Kummer surfaces. The interpretation of the natural double cover of an even 16-nodal quintic as…
Lagrangian fibrations
Daniel Huybrechts, Mirko Mauri
We review the theory of Lagrangian fibrations of hyperkähler manifolds as initiated by Matsushita. We also discuss more recent work of Shen-Yin and Harder-Li-Shen-Yin. Occasionally…