Relates invariants of a curve defined over the integers. If this inequality were proven true, then Fermat's last theorem would follow for sufficiently large exponents. Miyaoka claimed to have proven this inequality in 1988, but the proof contained an error.

# Bogomolov-Miyaoka-Yau Inequality

## See also

Fermat's Last Theorem## Explore with Wolfram|Alpha

## References

Cox, D. A. "Introduction to Fermat's Last Theorem."*Amer. Math. Monthly*

**101**, 3-14, 1994.

## Referenced on Wolfram|Alpha

Bogomolov-Miyaoka-Yau Inequality## Cite this as:

Weisstein, Eric W. "Bogomolov-Miyaoka-Yau Inequality."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Bogomolov-Miyaoka-YauInequality.html