Algebraic curve;
Vector bundle;
Petri map;
Poincare bundle;
LIMIT LINEAR SERIES;
MODULI SPACES;
COHERENT SYSTEMS;
D O I:
10.1007/s13163-023-00477-y
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We generalize to vector bundles the techniques introduced for line bundles in Liu (TAMS 374:367-405, 2021). We then use this method to prove the injectivity of the Petri map for vector bundles and the surjectivity of a map related to deformation theory of Poincare sheaves.