Browsing 2014 by MSC "14"
Now showing items 1-4 of 4
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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 $\alpha, \beta, \gamma$, ...