Abstract
A notion of "delta-genus" for ample vector bundles $\mathcal{E}$ of rank two on a smooth projective threefold X is defined as a couple of integers (δ1, δ2). This extends the classical definition holding for ample line bundles. Then pairs (X, $\mathcal{E}$) with low δ1 and δ2 are classified under suitable additional assumptions on $\mathcal{E}$.
Citation
Enrique Arrondo. Antonio Lanteri. Carla Novelli. "A notion of Δ-multigenus for certain rank two ample vector bundles." Kodai Math. J. 36 (1) 137 - 153, March 2013. https://doi.org/10.2996/kmj/1364562725
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