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hyperkahler manifolds, complex Lagrangian submanifolds, Mukai flop, integrable systems
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Questions about holomorphy and zeros of the symmetric power $L$-function
Let $f$ be a primitive form of an even weight $k$ for the full modular group and let $L(Sym^rf,s)$ be the symmetric $r$th $(r\geq 2)$ power $L$-function associated to $f.$ I have three questions rela …