半局部单位模椭圆单位的不变量与余不变量
Invariants and coinvariants of semilocal units modulo elliptic units
摘要：
设p为素数，k为虚二次域，其中p分解为两个素数\mathfrak{p}和\bar{\mathfrak{p}} .设k_ \infty是k的唯一Z_p扩张，且在\mathfrak{p}外是非分歧的，K_ \infty是k_ \infty的有限扩张，是k上的阿贝尔算子.设U_ \infty /C_ \infty是主半局部单位模椭圆单位的投射极限.证明了U_ \infty /C_ \infty的不变量和共不变量的模是有限的.
英文摘要：
Let p be a prime number, and let k be an imaginary quadratic field in which p decomposes into two primes \mathfrak{p} and \bar{\mathfrak{p}}. Let k_\infty be the unique Z_p-extension of k which is unramified outside of \mathfrak{p}, and let K_\infty be a finite extension of k_\infty, abelian over k. Let U_\infty/C_\infty be the projective limit of principal semi-local units modulo elliptic units. We prove that the various modules of invariants and coinvariants of U_\infty/C_\infty are finite.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
