People very often say that algebraic geometry is a hard subject and has many challenging problems to solve. I believe the hodge conjecture is the one of the most difficult in the field and you, which problems do you think are the most difficult in the realm of algebraic geometry?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
Here's how it works:
- Anybody can ask a question
- Anybody can answer
- The best answers are voted up and rise to the top
Also there are open problems in arithmetic algebraic geometry, which the Birch-Swinnerton-Dyer can be said to be a part of.