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user131608
user131608
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Let $X$ be a smooth projective curve over $\mathbb C$ and $M_{dR}$ denote the moduli space of stable $\Lambda$-connections of fixed rank and coprime degree $0$. Is it known whether $M_{dR}$ is a smooth variety? If yes, then is there a simple argument like in the case of moduli of stable Higgs bundles?

Let $X$ be a smooth projective curve over $\mathbb C$ and $M_{dR}$ denote the moduli space of stable $\Lambda$-connections of fixed rank and coprime degree. Is it known whether $M_{dR}$ is a smooth variety? If yes, then is there a simple argument like in the case of moduli of stable Higgs bundles?

Let $X$ be a smooth projective curve over $\mathbb C$ and $M_{dR}$ denote the moduli space of stable $\Lambda$-connections of fixed rank and degree $0$. Is it known whether $M_{dR}$ is a smooth variety? If yes, then is there a simple argument like in the case of moduli of stable Higgs bundles?

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user131608
user131608
  • 31
  • 3

de-Rham moduli space over a compact Riemann surface

Let $X$ be a smooth projective curve over $\mathbb C$ and $M_{dR}$ denote the moduli space of stable $\Lambda$-connections of fixed rank and coprime degree. Is it known whether $M_{dR}$ is a smooth variety? If yes, then is there a simple argument like in the case of moduli of stable Higgs bundles?