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Rank-two vector bundles on non-minimal ruled surfaces

Rank-two vector bundles on non-minimal ruled surfaces

We continue previous work by various authors and study the birational geometry of moduli spaces of stable rank-two vector bundles on surfaces with Kodaira dimension $-\infty$. To this end, we express vector bundles as natural extensions by using two numerical invariants associated to vector bundles, similar to the invariants defined …