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Schubert Unions in Grassmann Varieties
Johan P. Hansen, Trygve Johnsen, Kristian Ranestad
We study subsets of Grassmann varieties G(l,m) over a field F, such that these subsets are unions of Schubert cycles, with respect to a fixed flag. We study the linear spans of, an…
Rational Curves in Calabi-Yau Threefolds
Trygve Johnsen, Andreas Leopold Knutsen
We study the set of rational curves of a certain topological type in general members of certain families of Calabi-Yau threefolds. For some families we investigate to what extent i…
K3 projective models in scrolls
Trygve Johnsen, Andreas Leopold Knutsen
We study the projective models of complex K3 surfaces polarized by a line bundle L such that all smooth curves in |L| have non-general Clifford index. Such models are in a natural…