论文标题

真实投影平面的异性义

Birational involutions of the real projective plane

论文作者

Cheltsov, Ivan, Mangolte, Frédéric, Yasinsky, Egor, Zimmermann, Susanna

论文摘要

我们将真实投影平面的异性涉及到共轭。与对复数的类似分类相反(由于E. Bertini,G。Castelnuovo,F。Enriques,L。Bayle和A. Beauville),其中包括4种不同的互动类别,我们发现了12个不同的类别,并且在固定的参与率没有确定其Conjugacy class conjugacy class in eal cremona cremona cremona cremona cremona cremona cremona cremona cremona cremona cremona cremona cremona copern of the Reals afters。

We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Castelnuovo, F. Enriques, L. Bayle and A. Beauville), which includes 4 different classes of involutions, we discover 12 different classes over the reals, and provide many examples when the fixed curve of an involution does not determine its conjugacy class in the real plane Cremona group.

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