We study the Hartogs extension phenomenon in noncompact almost homogeneous algebraic varieties, and we prove a cohomological and a weight criterion for the Hartogs phenomenon. In the case of spherical varieties we prove a criterion for the Hartogs phenomenon in terms of coloured fans.
Bibliography: 28 titles.
Изучается феномен продолжения Гартогса в некомпактных почти однородных алгебраических многообразиях и доказываются когомологический и весовой критерии. В случае сферических многообразий получен критерий феномена Гартогса в терминах цветных вееров.
Библиография: 28 названий.
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