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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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/

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