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shamovic
shamovic
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I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every irreducible curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best result regarding this problem known today? Some references would be appreciated.

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best result regarding this problem known today? Some references would be appreciated.

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every irreducible curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best result regarding this problem known today? Some references would be appreciated.

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shamovic
shamovic
  • 431
  • 2
  • 8

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best known result regarding this problem known today? Some references would be appreciated.

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best known result regarding this problem known today? Some references would be appreciated.

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best result regarding this problem known today? Some references would be appreciated.

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shamovic
shamovic
  • 431
  • 2
  • 8

Is every projective space curve a set-theoretic intersection of two surfaces? What is known about this question?

I am sorry if this question has been already asked, couldn't find anything similar myself. I have recently recalled this long standing open problem of whether every curve in $\mathbb{P}^3(\mathbb{C})$ is a set-theoretic intersection of two surfaces in $\mathbb{P}^3(\mathbb{C})$. I know that there are results in characteristic $p > 0$. My question is what is the best known result regarding this problem known today? Some references would be appreciated.