## Annals of Mathematics |

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absolutely convergent affine connection affine geometry algebraic arbitrary axis Cayleyan coefficients common conjugate connected im kleinen constant contains continuous curve continuous function convergent coordinates corresponding defined definition denote derivatives determinant differential equations divisors dual curve elations elements elliptic functions equianharmonic equivalent exists expressed factor finite number fixed follows formula function given Hence Hermitian Hessian homology identity infinite integral interval invariant limit point linear linearly independent Math modular groups multiplied necessary and sufficient negative negative zero obtained paper parallel parameter path-curves plane polynomials positive number proof prove quadratic quadratic forms rational reduced ideal relation respect roots satisfied sequence solution square subgroup substitution tangent tensor Theorem theory transformation umbra uniformly uniformly convergent values vanish variables vectors X 0 X zero