The canonical syzygy conjecture for ribbons
The canonical syzygy conjecture for ribbons
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丝带的规范 syzygy 猜想
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发表时间：
2018
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通讯作者：
Anand Deopurkar
中科院分区：
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作者：
Anand Deopurkar
Green正则合猜想断言了光滑投影曲线的Clifford指数与其齐次理想在正则嵌入中的最小自由分辨率的形状之间的一种简单关系。我们证明了Bayer和Eisenbud对一类称为带状的非约化曲线的类比。我们的证明使用了Voisin和Hirschowitz-Ramanan关于一般光滑曲线的Green猜想的结果。
Green’s canonical syzygy conjecture asserts a simple relationship between the Clifford index of a smooth projective curve and the shape of the minimal free resolution of its homogeneous ideal in the canonical embedding. We prove the analogue of this conjecture formulated by Bayer and Eisenbud for a class of non-reduced curves called ribbons. Our proof uses the results of Voisin and Hirschowitz–Ramanan on Green’s conjecture for general smooth curves.