Skip to main content
MathOverflow

Return to Question

deleted 10 characters in body; edited title
Source Link
WWW
WWW
  • 21
  • 2

Algebraic geometric model for symplectic $T^*\mathbb{T}^2$$T^* \Sigma_g$?

I was aware of an algebraic geometric model of symplectic $T^* S^2$ recently, that it is $\{x_1^2+x_2^2+x_3^2=1\}$ in $\mathbb{C}^3$, which the Lagrangian $S^2$ is just the real part, and in this way we have 2 foliations of lines. First I had a hard time visualizing this fact even after I saw all the symplectomorphisms written down, and I also wonder whether there are higher genus analogues to this model so that we can somehow see lines or conics or whatever somehow clearly?

Algebraic geometric model for symplectic $T^*\mathbb{T}^2$?

I was aware of an algebraic geometric model of symplectic $T^* S^2$ recently, that it is $\{x_1^2+x_2^2+x_3^2=1\}$ in $\mathbb{C}^3$, which the Lagrangian $S^2$ is just the real part, and in this way we have 2 foliations of lines. First I had a hard time visualizing this fact even after I saw all the symplectomorphisms written down, and I also wonder whether there are higher genus analogues to this model so that we can somehow see lines or conics or whatever somehow clearly?

Algebraic geometric model for symplectic $T^* \Sigma_g$?

I was aware of an algebraic geometric model of symplectic $T^* S^2$ recently, that it is $\{x_1^2+x_2^2+x_3^2=1\}$ in $\mathbb{C}^3$, which the Lagrangian $S^2$ is just the real part, and in this way we have 2 foliations of lines. First I had a hard time visualizing this fact even after I saw all the symplectomorphisms written down, and I also wonder whether there are higher genus analogues to this model so that we can see lines or conics or whatever somehow clearly?

Source Link
WWW
WWW
  • 21
  • 2

Algebraic geometric model for symplectic $T^*\mathbb{T}^2$?

I was aware of an algebraic geometric model of symplectic $T^* S^2$ recently, that it is $\{x_1^2+x_2^2+x_3^2=1\}$ in $\mathbb{C}^3$, which the Lagrangian $S^2$ is just the real part, and in this way we have 2 foliations of lines. First I had a hard time visualizing this fact even after I saw all the symplectomorphisms written down, and I also wonder whether there are higher genus analogues to this model so that we can somehow see lines or conics or whatever somehow clearly?