The Faltings theorem states that the number of rationals over an algebraic curve is finite if the genus is greater than 1. The genus decreases by increasing the number of singularities. My question is this. Should one count only the rational singularities or all the singularities over the complex field?
2026-04-04 11:58:17.1775303897
Faltings theorem and number of singularities
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