Stability of hypersurface sections of quadric threefolds

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Let S be a complete intersection of a smooth quadric 3-fold Q and a hypersurface of degree d in P-4. 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.
Publisher
SCIENCE PRESS
Issue Date
2015-03
Language
English
Article Type
Article
Keywords

HILBERT-STABILITY; DEFORMATIONS

Citation

SCIENCE CHINA-MATHEMATICS, v.58, no.3, pp.479 - 486

ISSN
1674-7283
DOI
10.1007/s11425-014-4918-8
URI
http://hdl.handle.net/10203/195981
Appears in Collection
MA-Journal Papers(저널논문)
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