We define the Weyl cycles on Xns , the blown-up projective space Pn in s points in general position. In particular, we focus on the Mori Dream spaces X37 and X48 , where we classify all the Weyl cycles of codimension two. We further introduce the Weyl expected dimension for the space of global sections of any effective divisor that generalizes the linear expected dimension of [2] and the secant expected dimension of [4].
Weyl cycles on the blow-up of P4 at eight points / Brambilla, Maria Chiara; Dumitrescu, Olivia; Postinghel, Elisa. - (2023), pp. 1-21. [10.1007/978-3-031-11938-5_1]
Weyl cycles on the blow-up of P4 at eight points
Postinghel, Elisa
2023-01-01
Abstract
We define the Weyl cycles on Xns , the blown-up projective space Pn in s points in general position. In particular, we focus on the Mori Dream spaces X37 and X48 , where we classify all the Weyl cycles of codimension two. We further introduce the Weyl expected dimension for the space of global sections of any effective divisor that generalizes the linear expected dimension of [2] and the secant expected dimension of [4].File in questo prodotto:
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