For an almost complex structure J on U R4 pseudo-holomorphically fibered over C a J-holomorphic curve C U can be described by a Weierstrass polynomial. The J-holomorphicity equation descends to a perturbed 8-operator ...For an almost complex structure J on U R4 pseudo-holomorphically fibered over C a J-holomorphic curve C U can be described by a Weierstrass polynomial. The J-holomorphicity equation descends to a perturbed 8-operator on the coefficients; the operator is typically (0, 2/m)-Holder continuous if m is the local degree of C over C. This sheds some light on the problem of parametrizing pseudo-holomorphic deformations of J-holomorphic curve singu-larities.展开更多
文摘For an almost complex structure J on U R4 pseudo-holomorphically fibered over C a J-holomorphic curve C U can be described by a Weierstrass polynomial. The J-holomorphicity equation descends to a perturbed 8-operator on the coefficients; the operator is typically (0, 2/m)-Holder continuous if m is the local degree of C over C. This sheds some light on the problem of parametrizing pseudo-holomorphic deformations of J-holomorphic curve singu-larities.
