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On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.
Let be a connected reductive affine algebraic group defined over the complex numbers, and be a maximal compact subgroup. Let , be irreducible smooth complex projective varieties and an algebraic morphism, such that is virtually nilpotent and the homomorphism is surjective. Define
where is the adjoint action. We prove that the geometric invariant theoretic quotient admits a deformation retraction to . We also show that the space of conjugacy classes of almost commuting elements...
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