• The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators 

      Laurent, Adrien Ange Andre; Mclachlan, Robert I.; Munthe-Kaas, Hans Zanna; Verdier, Olivier Philippe Paul (Journal article; Peer reviewed, 2023)
      Aromatic B-series were introduced as an extension of standard Butcher-series for the study of volume-preserving integrators. It was proven with their help that the only volume-preserving B-series method is the exact flow ...
    • Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces 

      Hebestreit, Fabian; Sagave, Steffen; Schlichtkrull, Christian (Journal article; Peer reviewed, 2020)
      In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set-level framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding ...
    • Nonemptiness of severi varieties on enriques surfaces 

      Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      Let (S,L) be a general polarised Enriques surface, with L not numerically 2-divisible. We prove the existence of regular components of all Severi varieties of irreducible nodal curves in the linear system |L| , that is, ...