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- W4360871730 abstract "Let [Formula: see text] be a vector bundle of rank [Formula: see text] on a smooth complex projective variety [Formula: see text]. In this paper, we compute the nef and pseudoeffective cones of divisors on the Grassmann bundle [Formula: see text] parametrizing [Formula: see text]-dimensional subspaces of the fibers of [Formula: see text], where [Formula: see text], under assumptions on [Formula: see text] as well as on the vector bundle [Formula: see text]. In particular, we show that nef cone and the pseudoeffective cone of [Formula: see text] coincide if and only if nef cone and pseudoeffective cone of [Formula: see text] coincide under the assumption that [Formula: see text] is a slope semistable bundle on [Formula: see text] with [Formula: see text]. We also discuss about the nefness and ampleness of the universal quotient bundle [Formula: see text] on [Formula: see text]." @default.
- W4360871730 created "2023-03-25" @default.
- W4360871730 creator A5026156010 @default.
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- W4360871730 date "2023-05-09" @default.
- W4360871730 modified "2023-09-27" @default.
- W4360871730 title "Slope semistability and positive cones of Grassmann bundles" @default.
- W4360871730 doi "https://doi.org/10.1142/s0219498824501573" @default.
- W4360871730 hasPublicationYear "2023" @default.
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