Prefazione
A necessary condition for the existence of vector bundles on the infinite dimensional quaternionic projective space
Si stabilisce che le radici del polinomio totale di Chern dei fibrati vettoriali complessi sullo spazio proiettivo quaternionale di dimensione infinita sono quadrati di interi. Si trattano inoltre i casi di fibrati reali e quaternionali.
On the class of Brill-Noether loci for Prym varieties.
Symmetric Functions, Conjugacy Classes and the Flag Variety.
Equivariant vector bundles over affine subsets of the projective line
Nesting maps of Grassmannians
Let be a field and be the Grassmannian of -dimensional linear subspaces of . A map is called nesting if for every . Glover, Homer and Stong showed that there are no continuous nesting maps except for a few obvious ones. We prove a similar result for algebraic nesting maps , where is an algebraically closed field of arbitrary characteristic. For this yields a description of the algebraic sub-bundles of the tangent bundle to the projective space .
Arithmetic properties of the cohomology of Artin groups
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