Search Results - "Ortiz, Ángel David Ríos"

Higher Gaussian Maps on K3 Surfaces by Ríos Ortiz, Ángel David

“…We give sufficient conditions for the surjectivity of higher Gaussian maps on a polarized K3 surface. As an application, we show that the $k$-th Gaussian map…”
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On the transcendental lattices of Hyper-Kähler manifolds by Piroddi, Benedetta, Ríos Ortiz, Ángel David

“…We introduce the notion of a Hyper-Kähler manifold X induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of…”
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Decomposing tensor spaces via path signatures by Améndola, Carlos, Galuppi, Francesco, Ríos Ortiz, Ángel David, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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Decomposing Tensor Spaces via Path Signatures by Améndola, Carlos, Galuppi, Francesco, Ortiz, Ángel David Ríos, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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Crossing the transcendental divide: from Schottky groups to algebraic curves by Fairchild, Samantha, Ortiz, Ángel David Ríos

“…Though the uniformization theorem guarantees an equivalence of Riemann surfaces and smooth algebraic curves, moving between analytic and algebraic…”
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On the transcendental lattices of Hyperk\"ahler manifolds by Piroddi, Benedetta, Ortiz, Ángel David Ríos

“…We introduce the notion of a Hyper-K\"{a}hler manifold $X$ induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of…”
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Riemann-Roch Polynomials of the known Hyperk\"ahler Manifolds by Ortiz, Ángel David Ríos

“…We compute explicit formulas for the Euler characteristic of line bundles in the two exceptional examples of Hyperk\"ahler Manifolds introduced by O'Grady. In…”
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Asymptotic base loci on hyper-K\"ahler manifolds by Denisi, Francesco Antonio, Ortiz, Ángel David Ríos

“…Given a projective hyper-K\"ahler manifold $X$, we study the asymptotic base loci of big divisors on $X$. We provide a numerical characterization of these loci…”
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MMP for Enriques pairs and singular Enriques varieties by Denisi, Francesco Antonio, Ortiz, Ángel David Ríos, Tsakanikas, Nikolaos, Xie, Zhixin

“…We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate…”
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A survey on rational curves on complex surfaces by Barbaro, Giuseppe, Fagioli, Filippo, Ortiz, Ángel David Ríos

“…In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the K\"ahler and non-K\"ahler setup. We systematically…”
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Higher Gaussian Maps on K3 surfaces by Ortiz, Angel David Rios

“…We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surface. As an application, we show that the higher $k$-th…”
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