12 research outputs found
The Universal Kummer Threefold
Full text linkThe universal Kummer threefold is a 9-dimensional variety that represents the
total space of the 6-dimensional family of Kummer threefolds in 7-dimensional
projective space. We compute defining polynomials for three versions of this
family, over the Satake hypersurface, over the G\"opel variety, and over the
reflection representation of type E7. We develop classical themes such as theta
functions and Coble's quartic hypersurface using current tools from
combinatorics, geometry, and commutative algebra. Symbolic and numerical
computations for genus 3 moduli spaces appear alongside toric and tropical
methods.Comment: 50 pages; v2: added Remark 4.3, strengthened Lemma 8.3; v3: added
references and added supplementary files to sourc
A Topical Treatment Optimization Programme (TTOP) improves clinical outcome for calcipotriol/ betamethasone gel in psoriasis: results of a 64-week multinational randomized phase IV study in 1790 patients (PSO-TOP)
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Height-latitude structure of the vertical wind in the upper mesosphere and lower thermosphere (70–110 km)
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Numerical modeling of inhomogeneous orographic wave influence on planetary waves in the middle atmosphere
No full textNeurogeriatrie – eine Vision für die verbesserte Versorgung und Forschung für geriatrische Patienten mit führend neurologischen Erkrankungen
No full textRamified coverings of the two-dimensional sphere and the intersection theory in spaces of meromorphic functions on algebraic curves
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