论文标题
多码相交的可移动锥在投影空间的产品上
Movable cones of complete intersections of multidegree one on products of projective spaces
论文作者
论文摘要
我们研究了卡拉比（Calabi-Yau）的歧管，这些歧管是多智能$ 1 $ 1 $ $ m $倍的产品的完整交叉点，$ n $二维投射空间。使用Coxeter群体的理论，我们表明这样的Calabi-yau歧管$ x $的Birational Automorthism群体是无限的，并且是$ \ Mathbb {Z} $的副本的免费产品。此外，我们对可移动锥$ \ operline {\ operatatorName {mov}}}（x）$的边界进行明确描述。最后，我们考虑了一般和非务件案例的示例，并描绘了可移动锥和$ \ operatotorname {bir}（x）$的动作的基本域。
We study Calabi-Yau manifolds which are complete intersections of hypersurfaces of multidegree $1$ in an $m$-fold product of $n$-dimensional projective spaces. Using the theory of Coxeter groups, we show that the birational automorphism group of such a Calabi-Yau manifold $X$ is infinite and a free product of copies of $\mathbb{Z}$ . Moreover, we give an explicit description of the boundary of the movable cone $\overline{\operatorname{Mov}}(X)$. In the end, we consider examples for the general and non-general case and picture the movable cone and the fundamental domain for the action of $\operatorname{Bir}(X)$.
