三角自旋曲线的Scorza四次型及其幂和簇
Scorza quartics of trigonal spin curves and their varieties of power sums
摘要：
我们的基本结果是建设新的子品种的各种权力和Scorza四次的任何一般对三角曲线和非有效的θ特性。这是Mukai把亏格为12的光滑素Fano三重数描述为平面四次幂和的变种的推广。在其他应用中，我们给一个肯定的答案的猜想Dolgachev和Kanev的存在的Scorza四次曲线的任何一般对曲线和非有效的θ特性。
英文摘要：
Our fundamental result is the construction of new subvarieties in the varieties of power sums for the Scorza quartic of any general pairs of trigonal curves and non-effective theta characteristics. This is a generalization of Mukai's description of smooth prime Fano threefolds of genus twelve as the varieties of power sums for plane quartics. Among other applications, we give an affirmative answer to the conjecture of Dolgachev and Kanev on the existence of the Scorza quartic for any general pairs of curves and non-effective theta characteristics.
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。
