Is there any source explaining or dealing with Grothendieck's Standard Conjectures on algebraic cycles in detail? For example, in the Wikipedia article,
- What does "Lefschetz operator ($\Lambda$) is induced by an algebraic cycle. (Conjecture B)" mean?
- What does "the projectors are algebraic (Conjecture C); i.e., induced by a cycle $\pi^{i} \subset X \times X$ with rational coefficients" mean?
And so on...
I would be grateful if anyone could help me.
I think both of your questions (and more) are well-answered by Grothendieck's original paper.