论文标题
任意维度的可允许对的模量,I:分辨率
Moduli of Admissible Pairs for Arbitrary Dimension, I: Resolution
论文作者
论文摘要
提出了一种程序,将无扭转的连贯捆绑包裹在非单词$ n $二维的投影代数变体中,以某些类别的投射方案为本地无捆。这是表面上连贯的滑轮的分辨率的更高维度类似物(称为作者先前作品中的标准分辨率)。 参考书目:23个项目 关键字:模量空间,代数相干滑轮,可允许的对,矢量束,非主化代数品种,投射代数品种,矢量束的模量,模量压实。
A procedure resolving a torsion-free coherent sheaf on a nonsingular $N$-dimensional projective algebraic variety into a locally free sheaf on a projective scheme of certain class is proposed. This is a higher-dimensional analog of the resolution (called the standard resolution in previous works of the author) of coherent sheaves on a surface. Bibliography: 23 items Keywords: moduli space, algebraic coherent sheaves, admissible pairs, vector bundles, nonsingular algebraic variety, projective algebraic variety, moduli of vector bundles, compactification of moduli.