Zobrazeno 1 - 10
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pro vyhledávání: '"Dumitrescu, Olivia"'
In this paper we study the birational geometry of $X$, a projective space $\mathbb{P}^n$ blown up at $s$ general points. We obtain a characterization of a special class of subvarieties, which we call Weyl $r$-planes, each of them being swept out by o
Externí odkaz:
http://arxiv.org/abs/2410.18008
Our goal is twofold. On one hand we show that the cones of divisors ample in codimension $k$ on a Mori dream space are rational polyhedral. On the other hand we study the duality between such cones and the cones of $k$-moving curves by means of the M
Externí odkaz:
http://arxiv.org/abs/2305.18536
Autor:
Dumitrescu, Olivia, Miranda, Rick
We investigate the study of smooth irreducible rational curves in $Y_s^r$, a general blowup of $\mathbb{P}^r$ at $s$ general points, whose normal bundle splits as a direct sum of line bundles all of degree $i$, for $i \in \{-1,0,1\}$: we call these $
Externí odkaz:
http://arxiv.org/abs/2205.13605
Autor:
Dumitrescu, Olivia, Miranda, Rick
In this paper we study $(i)$-curves with $i\in \{-1, 0, 1\}$ in the blown up projective space $\mathbb{P}^r$ in general points. The notion of $(-1)$-curves was analyzed in the early days of mirror symmetry by Kontsevich with the motivation of countin
Externí odkaz:
http://arxiv.org/abs/2104.14141
We define the Weyl cycles on $X^n_s$, the blown up projective space $\mathbb{P}^n$ in $s$ points in general position. In particular, we focus on the Mori Dream spaces $X^3_7$ and $X^{4}_{8}$, where we classify all the Weyl cycles of codimension two.
Externí odkaz:
http://arxiv.org/abs/2103.08556
Autor:
Dumitrescu, Olivia, Miranda, Rick
This article is motivated by the authors interest in the geometry of the Mori dream space $\mathbb{P}^4$ blown up in $8$ general points. In this article we develop the necessary technique for determining Weyl orbits of linear cycles for the four-dime
Externí odkaz:
http://arxiv.org/abs/2103.08040
Autor:
Dumitrescu, Olivia, Priddis, Nathan
In this paper we introduce and study divisorial (i) classes} for the blow up of projective space in several points for i=-1,0 and 1. We generalize Noether's inequality, and we prove that all divisorial (i) classes are in bijective correspondence with
Externí odkaz:
http://arxiv.org/abs/1905.00074
Autor:
Dumitrescu, Olivia, Mulase, Motohico
Edge-contraction operations form an effective tool in various graph enumeration problems, such as counting Grothendieck's dessins d'enfants and simple and double Hurwitz numbers. These counting problems can be solved by a mechanism known as topologic
Externí odkaz:
http://arxiv.org/abs/1904.04903
Autor:
Dumitrescu, Olivia, Postinghel, Elisa
We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number of general points and we discuss the semi-ampleness of the strict transforms. As an application we prove that the abundance conjecture holds for an in
Externí odkaz:
http://arxiv.org/abs/1709.05012
Autor:
Dumitrescu, Olivia, Osserman, Brian
We give an effective iterative characterization of the classes of (smooth, rational) (-1)-curves on the blowup of the projective plane at general points. Such classes are characterized as having self-intersection -1, arithmetic genus 0, and intersect
Externí odkaz:
http://arxiv.org/abs/1709.03518