Browsing Department of Mathematics by Journals "Forum of Mathematics, Sigma"
Now showing items 1-3 of 3
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The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
(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
(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
(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, ...