余维数为2的完全理想与双有理映射的符号幂
Symbolic powers of perfect ideals of codimension 2 and birational maps
摘要：
本文研究域上标准多项式环中余维数为2的完全理想的符号幂，其中相应的表示矩阵的元素是一般的线性型。本方法的主要贡献是使用的双有理理论的基本性质的理想和细节的深交织的发电机之间的符号权力和反演因素所产生的逆映射到双有理映射所定义的线性系跨越的发电机这个理想。在某些情况下给出了相应的符号Rees代数的完整描述。
英文摘要：
This work is about symbolic powers of codimension two perfect ideals in a standard polynomial ring over a field, where the entries of the corresponding presentation matrix are general linear forms. The main contribution of the present approach is the use of the birational theory underlying the nature of the ideal and the details of a deep interlacing between generators of its symbolic powers and the inversion factors stemming from the inverse map to the birational map defined by the linear system spanned by the generators of this ideal. A full description of the corresponding symbolic Rees algebra is given in some cases.
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。
