椭圆环面K3超曲面的Weierstrass模型与辛割
Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts
摘要：
我们研究椭圆纤维K3表面，部分，复曲面Fano三倍满足一定的组合性质相关的F-理论/杂合对偶。我们表明，这些条件中的一些是等价的存在一个适当的概念维尔斯特拉斯模型适应复曲面的背景下。此外，我们还证明了，如果另外满足其他条件，存在一个环面半稳定退化的椭圆K3表面，这是兼容的椭圆纤维化和F-理论/Heterotic对偶。
英文摘要：
We study elliptically fibered K3 surfaces, with sections, in toric Fano threefolds which satisfy certain combinatorial properties relevant to F-theory/Heterotic duality. We show that some of these conditions are equivalent to the existence of an appropriate notion of a Weierstrass model adapted to the toric context. Moreover, we show that if in addition other conditions are satisfied, there exists a toric semistable degeneration of the elliptic K3 surface which is compatible with the elliptic fibration and F-theory/Heterotic duality.
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