M.I.T. Algebraic Geometry Seminar - Meeyoung Kim

Friday April 30, 4:00pm-5:30pm
Room 2-255

Low degree coverings of homogeneous spaces

(joint work with L. Manivel)

The Classical Barth-Lefschetz theorem asserts that SMALL codimensional subvarieties of projective space 'resemble' the ambient projective space. Similar phenomena occur for small codimensional subvarieties of more general homogeneous spaces. Results of Lazarsfeld assert that a similar situation occurs for LOW degree branched coverings of projective space. We obtain Barth-Lefschetz type theorems for low degree branched coverings of homogeneous spaces.

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