Abstract
In this paper, our purpose is to give a characterization of the generic special cubic fourfold which contains a smooth rational surface of degree 9 not homologous to a complete intersection. As corollaries, we will give an explicit construction of families of smooth surfaces in generic special cubic fourfolds
Funding source: National Foundation for Science and Technology Development
Award Identifier / Grant number: 101.04-2019.309
Funding source: Vietnam Academy of Science and Technology
Award Identifier / Grant number: ICRTM02-2020.05
Funding statement: The first author was partially supported by the Alexander von Humboldt Foundation and the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2019.309. The second author was partially supported by Grant number ICRTM02-2020.05, awarded in the internal grant competition of International Center for Research and Postgraduate Training in Mathematics, Hanoi.
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