Fibered Calabi--Yau Varieties Deformations

Benjamin Bakker; Kristin DeVleming; Stefano Filipazzi; Radu Laza; Jennifer Li; Roberto Svaldi; Chengxi Wang; Junyan Zhao

Fibered Calabi--Yau Varieties Deformations

代数几何 2026-04-16 v1 高能物理 - 理论微分几何

作者: Benjamin Bakker , Kristin DeVleming , Stefano Filipazzi , Radu Laza , Jennifer Li , Roberto Svaldi , Chengxi Wang , Junyan Zhao

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摘要

Kollár 证明了具有 $H^2(X,\mathcal{O}_X)=0$ 的 elliptically fibered smooth $K$ -torsion varieties的小变形仍然是 elliptically fibered 的。我们将此结果推广到任意 fibered smooth $K$ -torsion variety $X$ 且 $H^2(X,\mathcal{O}_X)=0$ ，采用 Hodge 论技术和 Kawamata--Ran 的 $T^1$ -lifting 标准。更一般地，我们的策略表明，即使没有上述上cohomological 假设， $K$ -torsion variety 上的半ample 线丝的小变形在 homological 等价下仍然保持 semiample。

关键词

Calabi-Yau Varieties 变形纤维化 Varieties Hodge 理论半ample 线丝

引用

@article{arxiv.2604.14024,
  title  = {Deformations of fibered Calabi--Yau varieties},
  author = {Benjamin Bakker and Kristin DeVleming and Stefano Filipazzi and Radu Laza and Jennifer Li and Roberto Svaldi and Chengxi Wang and Junyan Zhao},
  journal= {arXiv preprint arXiv:2604.14024},
  year   = {2026}
}

备注

v1: 15 pages. Comments are welcome

Fibered Calabi--Yau Varieties Deformations

摘要

关键词

引用

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