Now showing items 1-4 of 4

• #### Abundance of 3-Planes on Real Projective Hypersurfaces ﻿

[OWP-2014-14] (Mathematisches Forschungsinstitut Oberwolfach, 2014-11-11)
We show that a generic real projective n-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}{3}$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of ...
• #### Cocharacter-Closure and the Rational Hilbert-Mumford Theorem ﻿

[OWP-2014-16] (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)
For a field $k$, let $G$ be a reductive $k$-group and $V$ an affine $k$-variety on which $G$ acts. Using the notion of cocharacter-closed $G(k)$-orbits in $V$ , we prove a rational version of the celebrated Hilbert-Mumford ...
• #### Spherical Actions on Flag Varieties ﻿

[OWP-2014-04] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
For every finite-dimensional vector space $V$ and every $V$ -flag variety $X$ we list all connected reductive subgroups in $GL(V)$ acting spherically on $X$.
• #### Varieties of Invariant Subspaces Given by Littlewood-Richardson Tableaux ﻿

[OWP-2014-01] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ...