论文标题
光彩的过剩尺寸 - 排名的方案两个稳定捆
Excess dimensions of Brill--Noether schemes of rank two stable bundles
论文作者
论文摘要
我们使用M. aprodu和E. sernesi的结果扩展了Fulton-Harris--harris- lazarsfeld在Brill-中 - 无线束束的理论，也是Aprod-Sernesi在SCEANT LOCI理论中的结果。 到Brill - 在平滑的投影代数曲线上，等级两个稳定矢量束的模量空间内的稳定束的位点。结果；如果$ b^k_ {2，d} $是预期的维度，那么我们证明其平滑度与$ b^{k} _ {2，d+1} $的平滑度相当。
We use results of M. Aprodu and E. Sernesi to extend a result by Fulton--Harris--Lazarsfeld in Brill--Noether theory of line bundles %and, as well, a result by Aprod-Sernesi in theory of Secant Loci, to Brill--Noether loci of stable bundles inside the moduli space of rank two stable vector bundles on a smooth projective algebraic curve. As a consequence; if $B^k_{2, d}$ is of expected dimension, then we prove that its smoothness is equivalent with the smoothness of $B^{k}_{2, d+1}$.
