具有截面的低维椭圆Calabi-Yau簇的双有理有界性
代数几何
2021-07-22 v4
摘要
我们证明了在余维一意义下至多同构，存在有限多个椭圆Calabi-Yau流形族具有有理截面，前提是且不是乘积型。作为推论，我们得到此类流形的Hodge菱形只有有限多种可能。该结果源于维数不超过的klt对的对数双有理有界性，其中数值平凡且非乘积型。
引用
@article{arxiv.1608.02997,
title = {Birational boundedness of low dimensional elliptic Calabi-Yau varieties with a section},
author = {Gabriele Di Cerbo and Roberto Svaldi},
journal= {arXiv preprint arXiv:1608.02997},
year = {2021}
}
备注
Final and accepted version integrating improvements to the exposition and corrections suggested by the referee. Main results are unchanged. Comments are welcome!