Geodesic
On Real Toric Varieties of Dimension Two
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 401-409

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We prove that a compact smooth orientable real two-dimensional toric variety is homeomorphic to a torus.
Keywords: real toric varieties, compact surfaces. 
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Oksana V. Znamenskaya; Alexey V. Schuplev. On Real Toric Varieties of Dimension Two. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 401-409. http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a2/