论文标题
6 x 6偏斜矩阵的线性形式的格式与消失的pfaffian
Formats of 6 x 6 skew matrices of linear forms with vanishing Pfaffian
论文作者
论文摘要
我们表明，每个偏压对称的6 x 6线性形式的矩阵具有消失的pfaffian均与有限多种类型的矩阵之一一致，每种矩阵的特征是其条目中的零（以及其他一些线性关系）的特定模式。例如，对于稳定等级2矢量束的压实模量c_1 = 0，c_2 = 2的稳定模量空间很重要。
We show that every skew-symmetric 6 x 6 matrix of linear forms with vanishing Pfaffian is congruent to one of finitely many types of matrices, each of which is characterised by a specific pattern of zeroes (and some other linear relations) among its entries. Such matrices are for example important for compactifying moduli spaces of stable rank 2 vector bundles with Chern classes c_1=0, c_2=2 on cubic threefolds.
