Abstract
We prove a topological result concerning the kernel ker d of a morphism d: E⟶ F of holomorphic vector bundles over a complex analytic space. As a consequence, weshow that the projectivization P(ker d) is a quasifibration up to some dimension. We givean application to the Abel-Jacobi map of a Riemann surface, and to the space of rational curves in the symmetric product of a Riemann surface.
Original language | English |
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Pages (from-to) | 159-170 |
Number of pages | 12 |
Journal | Hokkaido Mathematical Journal |
Volume | 29 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2000 |
Externally published | Yes |
Keywords
- Abel-Jacobi map
- Linear space
- Quasifibration
- Symmetric algebra
ASJC Scopus subject areas
- Mathematics(all)