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- W3037138624 abstract "Many classes of projective algebraic varieties can be studied in terms of graded rings. Gorenstein graded rings in small codimension have been studied recently from an algebraic point of view, but the geometric meaning of the resulting structures is still relatively poorly understood. We discuss here the weighted projective analogs of homogeneous spaces such as the Grassmannian Gr(2,5) and orthogonal Grassmannian OGr(5,10) appearing in Mukai's linear section theorem for Fano 3-folds, and show how to use these as ambient spaces for weighted projective constructions. This is a first sketch of a subject that we expect to have many interesting future applications." @default.
- W3037138624 created "2020-07-02" @default.
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- W3037138624 date "2002-10-22" @default.
- W3037138624 modified "2023-09-30" @default.
- W3037138624 title "Weighted Grassmannians" @default.
- W3037138624 doi "https://doi.org/10.1515/9783110198072.141" @default.
- W3037138624 hasPublicationYear "2002" @default.
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