Geodesic
On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers
Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 7-21

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We demonstrate that the space of essential infinitesimal deformations of the structure of manifold over algebra of $k$-plural numbers is isomorphic to the first cohomology gioup of manifold with coefficients in the sheaf of holomorphic vector fields. 
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     author = {A. V. Boyarshinova},
     title = {On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers},
     journal = {Trudy Geometricheskogo Seminara},
     pages = {7--21},
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     url = {http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/}
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A. V. Boyarshinova. On the space of essential infinitesimal deformations of a manifold over the algebra of $k$-plural numbers. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 7-21. http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a1/