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- W4308646887 abstract "Let X be a singular real rational surface obtained from a smooth real rational surface by performing weighted blow-ups. Denote by Aut(X) the group of algebraic automorphisms of X into itself. Let n be a natural integer and let e=[e_1,...,e_l] be a partition of n. Denote by X^e the set of l-tuples (P_1,...,P_l) of distinct nonsingular curvilinear infinitely near points of X of orders (e_1,...,e_l). We show that the group Aut(X) acts transitively on X^e. This statement generalizes earlier work where the case of the trivial partition e=[1,...,1] was treated under the supplementary condition that X is nonsingular. As an application we classify singular real rational surfaces obtained from nonsingular surfaces by performing weighted blow-ups." @default.
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- W4308646887 date "2008-04-24" @default.
- W4308646887 modified "2023-09-27" @default.
- W4308646887 title "Automorphisms of real rational surfaces and weighted blow-up singularities" @default.
- W4308646887 doi "https://doi.org/10.48550/arxiv.0804.3846" @default.
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