Zobrazeno 1 - 10
of 1 356
pro vyhledávání: '"Ortiz, Angel"'
We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is stable under the operations of the Minimal Model Program (MMP). In partic
Externí odkaz:
http://arxiv.org/abs/2409.12054
Though the uniformization theorem guarantees an equivalence of Riemann surfaces and smooth algebraic curves, moving between analytic and algebraic representations is inherently transcendental. Our analytic curves identify pairs of circles in the comp
Externí odkaz:
http://arxiv.org/abs/2401.10801
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 hyper-K\"{a}hler manifolds studying those that are induced by a K3 or abelian surface, givin
Externí odkaz:
http://arxiv.org/abs/2308.12869
Autor:
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 all signature tensors at a particular level gives rise to the universal signature variety. W
Externí odkaz:
http://arxiv.org/abs/2308.11571
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 and study how they vary while moving a big divisor class in the big cone, using the diviso
Externí odkaz:
http://arxiv.org/abs/2304.01773
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 go through the Enriques--Kodaira classification of complex surfaces to highlight the differe
Externí odkaz:
http://arxiv.org/abs/2209.04229