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Let S be a complete intersection of a smooth quadric 3-fold Q and a hypersurface of degree d in P4.
We analyze GIT stability of S with respect to the natural G = SO(5,C)-action. We prove that if d > 4 and S
has at worst semi-log canonical singularities then S is G-stable. Also, we prove that if d > 3 and S has at worst
semi-log canonical singularities then S is G-semistable.

To be announced     2015-10-28 10:18:15