Zobrazeno 1 - 10
of 492
pro vyhledávání: '"Hůlek P"'
All arithmetic non-compact ball quotients by Deligne-Mostow's unitary monodromy group arise as sub-ball quotients of either of two spaces called ancestral cases, corresponding to Gaussian or Eisenstein Hermitian forms respectively. In our previous pa
Externí odkaz:
http://arxiv.org/abs/2403.18345
We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. From this we also compute the corresponding cones for the moduli space
Externí odkaz:
http://arxiv.org/abs/2312.15369
The paper describes of the Ryze Tello drone to move autonomously using a basic vision system. The drone's position is determined by identifying AprilTags' position relative to the drone's built-in camera. The accuracy of the drone's position readings
Externí odkaz:
http://arxiv.org/abs/2305.05673
Autor:
Sikirić, Mathieu Dutour, Hulek, Klaus
Moduli spaces of (polarized) Enriques surfaces can be described as open subsets of modular varieties of orthogonal type. It was shown by Gritsenko and Hulek that there are, up to isomorphism, only finitely many different moduli spaces of polarized En
Externí odkaz:
http://arxiv.org/abs/2302.01679
Autor:
Hulek, Klaus, Maeda, Yota
The moduli space of $8$ points on $\mathbb{P}^1$, a so-called ancestral Deligne-Mostow space, is, by work of Kond\={o}, also a moduli space of K3 surfaces. We prove that the Deligne-Mostow isomorphism does not lift to a morphism between the Kirwan bl
Externí odkaz:
http://arxiv.org/abs/2211.00052
Publikováno v:
Nagoya Math. J. 254 (2024), 315-365
The moduli space of complex cubic surfaces has three different, but isomorphic, compact realizations: as a GIT quotient, as a Baily--Borel compactification of a ball quotient, and as a compactified $K$-moduli space. From all three perspectives, there
Externí odkaz:
http://arxiv.org/abs/2207.03533
Autor:
Hulek, Klaus, Lönne, Michael
In this paper we investigate two stratifications of the moduli space of elliptically fibred K3 surfaces. The first comes from Shimada's classification of connected components of elliptically fibred K3 surfaces and is closely related to the root latti
Externí odkaz:
http://arxiv.org/abs/2101.12689
We investigate a toroidal compactification of the moduli space of K3 surfaces of degree $2$ originating from the program formulated by Gross-Hacking-Keel-Siebert. This construction uses Dolgachev's formulation of mirror symmetry and the birational ge
Externí odkaz:
http://arxiv.org/abs/2010.06922
Autor:
Grushevsky, Samuel, Hulek, Klaus
We determine five extremal effective rays of the four-dimensional cone of effective surfaces on the toroidal compactification $\overline{\mathcal A}_3$ of the moduli space ${\mathcal A}_3$ of complex principally polarized abelian threefolds, and we c
Externí odkaz:
http://arxiv.org/abs/2007.02995
Autor:
Hulek, Klaus, Liese, Carsten
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 6 (January 28, 2022) epiga:5971
In this paper we study the Mori fan of the Dolgachev-Nikulin-Voisin family in degree $2$ as well as the associated secondary fan. The main result is an enumeration of all maximal dimensional cones of the two fans.
Comment: Substantially revised
Comment: Substantially revised
Externí odkaz:
http://arxiv.org/abs/1911.06862