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| WEIERSTRASS POLYNOMIALS AND PLANE PSEUDO-HOLOMORPHIC CURVES |
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Citation： |
B. SIEBERT,TIAN Gang.WEIERSTRASS POLYNOMIALS AND PLANE PSEUDO-HOLOMORPHIC CURVES[J].Chinese Annals of Mathematics B,2002,23(1):1~10 |
| Page view： 1259
Net amount： 1007 |
Authors： |
B. SIEBERT; TIAN Gang |
Foundation： |
Project supported by the National Natural Science Founadtion of China (No. 10009666). |
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| Abstract： |
For an almost complex structure J on $U\subset R^4$ pseudo-holomorphically fibered over $\cz$ a J-holomorphic curve $C\subset U$ can be described by a Weierstrass polynomial. The J-holomorphicity equation descends to a perturbed $\ov\partial$-operator on the coefficients; the operator is typically $(0,2/m)$-Holder continuous if m is the local degree of C over $\cz$. This sheds some light on the problem of parametrizing pseudo-holomorphic deformations of J-holomorphic curve singularities. |
Keywords： |
Weierstrass polynomials, Plane pseudo-holomorphic curves |
Classification： |
32Q65 |
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