Direct Proof of the Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves
Direct Proof of the Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves
复制标题
3阶有理曲线射影超曲面镜像定理的直接证明
DOI：
10.1016/j.geomphys.2011.03.014
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发表时间：
2011
影响因子：
1.5
通讯作者：
Masao Jinzenji
中科院分区：
文献类型：
--
作者：
Masaaki Amou;Yann Bugeaud;Masao Jinzenji
本文通过比较Kontsevich的局部化公式和虚结构常数的留数积分表示，直接导出了亏格为0的3次以下射影超曲面的广义镜像变换.我们可以很容易地将我们的方法推广到任意次数的有理曲线，除了组合复杂性。
In this paper, we directly derive a generalized mirror transformation of projective hypersurfaces of up to degree 3, genus 0 Gromov-Witten invariants by comparing the Kontsevich’s localization formula with residue integral representation of the virtual structure constants. We can easily generalize our method for the rational curves of arbitrary degree, except under combinatorial complexities.