在模情况时二面体群$D_{2p}$作用下的transfer理想

The Transfer Ideal under the Action of the Dihedral Group $D_{2p}$ in the Modular Case

中文关键词:  不变式  Transfer 理想  Transfer 簇  根理想

英文关键词:invariant  transfer ideal  transfer variety  radical ideal

中文摘要:

      本文我们确定了在模情况时, 二面体群 $D_{2p}$ 作用下多项式环 $F_p[x,y]$ 的transfer理想, 以及它的根理想. 我们主要利用的是Transfer 簇, $p$ 阶元和Hilbert 零点定理.

英文摘要:

      In this paper, we determine the structures of the transfer ideal and its radical ideal for the ring of polynomials $F_p[x,y]$ under the action of dihedral group $D_{2p}$ in the modular case. We mainly use Transfer variety, $p$ order elements, and Hilbert's Nullstellensatz Theorem.