The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties
The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties
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发表时间：
2009-03
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通讯作者：
A. Bak
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作者：
A. Bak
我们扩展频谱建设，一个技术，取得了巨大成功，研究和建设向量丛椭圆纤维品种，一个特殊的家庭的阿贝尔表面纤维品种。这些结果是出于杂合弦现象学的要求，其中需要具有指定chern类的矢量束来产生现实的粒子谱。虽然只有某些（1，8）极化家庭的阿贝尔表面被认为是在这里，我们希望的主要思想进行到其他家庭的阿贝尔品种与统一的相对极化类型。
We extend the Spectral Construction, a technique used with great success to study and construct vector bundles on elliptically fibered varieties, to a special family of abelian surface fibered varieties. The results are motivated by requirements from Heterotic String Phenomenology where vector bundles with specified chern class are required to produce a realistic particle spectrum. Although only certain (1,8)-polarized families of abelian surfaces are considered here we expect the main ideas to carry over to other families of abelian varieties with a uniform relative polarization type.