形态学和突变的空间缺失II
Espaces abstraits de morphismes et mutations II
摘要：
设E，F是射影代数簇上的代数向量丛.设G=Aut（E）XAut（F），作用于W=Hom（E，F）.本文研究了W的开G-不变子集的代数行列式的新构造方法。这是通过将一个新的态射空间W '= Hom（E'，F '）（具有群G'= Aut（E '）XAut（F'））与W相关联来完成的，使得W的开子集的G-轨道集与W '的开子集的G'-轨道集之间存在自然的双射。然后，我们可以将已知的构造方法应用于W'的G'-不变开子集，并由此导出W '的G-不变开子集的新等价式。这是一个新版本，也是一个旧版本的延续。
英文摘要：
Let E,F be algebraic vector bundles on a projective algebraic variety. Let G=Aut(E)XAut(F), acting on W=Hom(E,F). In this paper new methods of construction of algebraic quotients of open G-invariant subsets of W are studied. This is done by associating to W a new space of morphisms W'=Hom(E',F') (with group G'=Aut(E')XAut(F')) in such a way that there is a natural bijection between the set of G-orbits of an open subset of W and the set of G'-orbits of an open subset of W'. We can then apply already known construction methods to G'-invariant open subsets of W' and deduce with the correspondance new quotients of open G-invariant subsets of W. This is a new version and a continuation of an older paper.
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