The Hodge conjecture is hard because sophisticated submanifolds are quite rigid objects (since they are described by polynomials). Actually, it is very difficult to assemble intricate submanifolds, and you can find very few of them. Proving that submanifolds exist without having developing them (an incredibly helpful kind of indirect reasoning) https://followbookmarks.com/story19422594/the-definitive-guide-to-bos138-slot