Abstract.
Let X and X′ be irreducible projective nonsingular algebraic varieties over R. We suppose that X is obtained from X′ by a finite sequence of blow-ups and blow-downs along nonsingular centers and that all these centers are GM-varieties. Then we show that X is a GM-variety if and only if X′ is a GM-variety.
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Receivded: 3 June 2002 / Revised version: 4 November 2002 Published online: 3 March 2003
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Derval, D. Variétés Galois-maximales et éclatements. manuscripta math. 110, 467–474 (2003). https://doi.org/10.1007/s00229-002-0343-3
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DOI: https://doi.org/10.1007/s00229-002-0343-3