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Cartier divisors ofon the moduli space of two pointed elliptic curves

The moduli space ofof stable 2$2$-pointed genus 1$1$ curves has cyclic quotient singularities, so any Weil divisor on $\overline{M}_{1,2}$ is $\mathbb{Q}$-Cartier.

Is one of the two boundary divisors $\Delta_{irr}$ and $\Delta_{0,2}$ of $\overline{M}_{1,2}$ Cartier ?

Cartier divisors of moduli of two pointed elliptic curves

The moduli space of stable 2-pointed genus 1 curves has cyclic quotient singularities, so any Weil divisor on $\overline{M}_{1,2}$ is $\mathbb{Q}$-Cartier.

Is one of the two boundary divisors $\Delta_{irr}$ and $\Delta_{0,2}$ of $\overline{M}_{1,2}$ Cartier ?

Cartier divisors on the moduli space of two pointed elliptic curves

The moduli space of stable $2$-pointed genus $1$ curves has cyclic quotient singularities, so any Weil divisor on $\overline{M}_{1,2}$ is $\mathbb{Q}$-Cartier.

Is one of the two boundary divisors $\Delta_{irr}$ and $\Delta_{0,2}$ of $\overline{M}_{1,2}$ Cartier ?

Source Link
Puzzled
Puzzled
  • 9k
  • 1
  • 38
  • 65

Cartier divisors of moduli of two pointed elliptic curves

The moduli space of stable 2-pointed genus 1 curves has cyclic quotient singularities, so any Weil divisor on $\overline{M}_{1,2}$ is $\mathbb{Q}$-Cartier.

Is one of the two boundary divisors $\Delta_{irr}$ and $\Delta_{0,2}$ of $\overline{M}_{1,2}$ Cartier ?