Geodesic
On the integrals over two-dimensional compact complex toric varieties
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 544-555

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In this paper, we proof that an integral of smooth $(2,2)$-form over two-dimensional compact complex toric variety $X$ (which contains complex torus $\mathbb T^2$) is equal to the integral of holomorphic $(2,0)$-form over real torus $T^2\subset\mathbb T^2$.
Keywords: differential form, toric variety, Dolbeault cohomology, Čech cohomology. 
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     author = {Olga S. Ulvert},
     title = {On the integrals over two-dimensional compact complex toric varieties},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a11/}
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Olga S. Ulvert. On the integrals over two-dimensional compact complex toric varieties. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 544-555. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a11/