极化Hücken曲面上的秩2向量丛和DuVal曲线的Gauss-Wahl映射
Rank two vector bundles on polarised Halphen surfaces and the Gauss-Wahl map for du Val curves
摘要：
一条亏格-g-杜瓦尔曲线是一条次数为3g的平面曲线，它有8个重点g，一个重点g-1，并且没有其他奇点。证明了奇数亏格（>11）的一般杜瓦尔曲线的Gauss-Wahl映射的余秩等于1。这与文献[1]的结果一起表明，文献[3]中得到的以非满射Gauss-Wahl映射作为K3曲面的超平面截面的Brill-Noether-Petri曲线及其极限的刻画是最优的。
英文摘要：
A genus-g du Val curve is a degree-3g plane curve having 8 points of multiplicity g, one point of multiplicity g-1, and no other singularity. We prove that the corank of the Gauss-Wahl map of a general du Val curve of odd genus (>11) is equal to one. This, together with the results of [1], shows that the characterisation of Brill-Noether-Petri curves with non-surjective Gauss-Wahl map as hyperplane sections of K3 surfaces and limits thereof, obtained in [3], is optimal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
