论文标题
与笛卡尔产品的矢量束相关的矢量束
Vector Bundles associated to Monads on Cartesian Products of Projective Spaces
论文作者
论文摘要
在本文中，我们在$ x = \ mathbb {p}^n \ times \ mathbb {p}^n \ times \ times \ mathbb {p}^m \ times \ times \ times \ mathbb {p}^m $上构建了与单子相关的向量捆绑包。我们首先在$ x $上建立了这种单子的存在。一旦存在单调，下一个自然的问题是与这些单子相关的同种学矢量捆绑包是否简单。我们研究了与单子相关的这些矢量束，并证明了它们的稳定性和简单性。
In this paper we construct vector bundles associated to monads on $X=\mathbb{P}^n\times\mathbb{P}^n\times\mathbb{P}^m\times\mathbb{P}^m$. We first establish the existence of such monads on $X$. Once the monads exist, the next natural question is whether the cohomology vector bundle associated to these monads are simple or not. We study these vector bundles associated to monads and prove their stability and simplicity.
