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Del Pezzo surfaces with infinite automorphism groups

2021
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Algebraic Geometry
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We classify del Pezzo surfaces with Du Val singularities that have infinite automorphism groups and describe the connected components of their automorphisms groups. Everywhere below, the number n 0 refers to the corresponding surface in Table 3 in Section 8. As a consequence of our classification we have the following. Corollary 1.2. Let X be a Du Val del Pezzo surface. Then the group Aut(X) is not reductive if and only if X is one of the 23 surfaces 7 Del Pezzo surfaces with Du Val

doi:10.14231/ag-2021-008
fatcat:6g37ul2b4rezfb47v63wbjo6im