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Hamiltonian systems, symplectic flows, classical integrable systems
6
votes
Accepted
Fujiki class $\mathcal C$ with a symplectic structure
If $X'$ is a Mukai flop of a compact hyper-Kähler manifold $X$, then $X'$ is in Fujiki class $\mathcal{C}$ and carries a holomorphic symplectic form $\sigma$. Taking the real part or the imaginary par …
2
votes
Do all symmetries of a Kähler quotient come from the original space?
Let $f : M \to E$ be a line bundle over an elliptic curve such that $\deg(M)<0$
and let $G = \mathbf{C}^*$ act on $M$ (on the left) by scalar multiplications. The maximal compact subgroup $K$ of $G$ …