This paper is concerned on the Moduli spaces M= M(X,c1 ,c2 ,H) of rank 2 vector bundles on a smooth projective surface X, with Chern classes c1 Pic(X), c2 in Z, stable with respect to a fixed polarization H. We prove that when c2 is large, there are bundles in M with good cohomology. Then we show that when X has Kodaira dimension >0, then M contains at least one irregular component.
Ballico, E., Chiantini, L. (1992). On some properties of rank 2 bundles on algebraic surfaces. FORUM MATHEMATICUM, 4, 417-424 [10.1515/form.1992.4.417].
On some properties of rank 2 bundles on algebraic surfaces
CHIANTINI, LUCA
1992-01-01
Abstract
This paper is concerned on the Moduli spaces M= M(X,c1 ,c2 ,H) of rank 2 vector bundles on a smooth projective surface X, with Chern classes c1 Pic(X), c2 in Z, stable with respect to a fixed polarization H. We prove that when c2 is large, there are bundles in M with good cohomology. Then we show that when X has Kodaira dimension >0, then M contains at least one irregular component.
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https://hdl.handle.net/11365/38794
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