Geodesic
Area in real K3-surfaces
Ilia Itenberg1 ; Grigory Mikhalkin2
1Sorbonne Université, Paris, France
2Université de Genève, Switzerland
EMS surveys in mathematical sciences, Tome 8 (2021), pp. 217-235

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DOI

For a real K3-surface X, one can introduce areas of connected components of the real point set RX of X using a holomorphic symplectic form of X. These areas are defined up to simultaneous multiplication by a positive real number, so the areas of different components can be compared. In particular, it turns out that the area of a non-spherical component of RX is always greater than the area of any spherical component.
DOI : 10.4171/emss/48
Classification : 14-XX
Mots-clés : Real K3-surface, simple Harnack curve, canonical class volume

Ilia Itenberg  1   ; Grigory Mikhalkin  2

1 Sorbonne Université, Paris, France
2 Université de Genève, Switzerland 
Ilia Itenberg; Grigory Mikhalkin. Area in real K3-surfaces. EMS surveys in mathematical sciences, Tome 8 (2021), pp. 217-235. doi: 10.4171/emss/48
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     author = {Ilia Itenberg and Grigory Mikhalkin},
     title = {Area in real {K3-surfaces}},
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     pages = {217--235},
     year = {2021},
     volume = {8},
     doi = {10.4171/emss/48},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/48/}
}
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