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Creators/Authors contains: "Dumitrescu, Olivia"

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  1. ; ; (, Trends in mathematics)
    We define the Weyl cycles on X_n^ s , the blown-up projective space P^n in s points in general position. In particular, we focus on the Mori Dream spaces X3 7 and X4 8, 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]. 
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  2. ; (, Annali della Scuola normale superiore di Pisa Classe di scienze)
    We study l-very ample, ample and semi-ample divisors on the blown-up projective space P^n in a collection of points in general position. We establish Fujita’s conjectures for all ample divisors with the number of points bounded above by 2n and for an infinite family of ample divisors with an arbitrary number of points. 
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    Accepted Manuscript Full Text Available
  3. ; (, Trends in Mathematics)
    This article is motivated by the authors’ interest in the geometry of the Mori dream space P^4 blown up in 8 general points. In this article, we develop the necessary technique for determining Weyl orbits of linear cycles for the four-dimensional case, by explicit computations in the Chow ring of the resolution of the standard Cremona transformation. In particular, we close this paper with applications to the question of the dimension of the space of global sections of effective divisors having at most 8 points. 
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