中文摘要：

Orlik-Solomon代数是基于构形A的外代数E模去一个齐次理想I的商代数。研究了二次构形与二次Grbner基之间的关系,得到了中心构形A是一个二次构形当且仅当I具有二次Grbner基,给出了直接证明。对于构形的Orlik-Solomon代数,分别针对中心构形和仿射构形给出了其最高次分支的同构定理。

英文摘要：

The Orlik-Solomon algebra is the quotient of the exterior algebra E based on A by a homogeneous ideal I. The relations between a quadratic arrangement and a quadratic Gr6bner basis are studied. And the proof of the conclusion that a central arrangement is a quadratic arrangement if and only if I has a quadratic Grobner basis is given. We do some research on the Orlik-Solomon algebras for central and affine arrangements, and give the isomorphism theorems for the top dimensional parts of Orlik-Solomon algebras.