WEIERSTRASS POINTS ON X0(p) AND SUPERSINGULAR j-INVARIANTS
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چکیده
The weight is independent of the particular basis; moreover, we have wt(Q) > 0 if and only if Q is a Weierstrass point. It is known that ∑ Q∈M wt(Q) = g 3 − g; therefore Weierstrass points exist on every Riemann surface of genus g ≥ 2 (for these and other basic facts, see [F-K]). In this paper we study such points on modular curves; these are a class of Riemann surfaces which play an important role in Number Theory. As usual, we denote by H the complex upper half-plane and by Γ0(N) the congruence subgroup
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تاریخ انتشار 2004