
05694771
j
2010b.00513
Znamenskaya, Oksana V.
Shchuplev, Alexey V.
Real toric surfaces.
Normat. 57, No. 3, 107115 (2009).
2009
Nationellt Centrum f\"or Matematikutbildning (NCM), G\"oteborgs Universitet, G\"oteborg
EN
H75
algebraic geometry
algebraic manifold
Summary: The authors prove that every real toric smooth orientable surface is topologically a torus. The presentation is selfcontained and uses no prior knowledge of toric varieties. The paper is organized into four sections as follows: construction of toric variety, the fan of the orientable toric surface, constructing a variety from the fan.