Dolbeault and Bott-Chern formalities: Deformations and∂∂‾-lemma
T Sferruzza, A Tomassini - Journal of Geometry and Physics, 2022 - Elsevier
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-
formal are not closed under holomorphic deformations of the complex structure. Further, we …
formal are not closed under holomorphic deformations of the complex structure. Further, we …
Flat F-theory and friends
P Cheng, IV Melnikov, R Minasian - Journal of High Energy Physics, 2024 - Springer
A bstract We discuss F-theory backgrounds associated to flat torus bundles over Ricci-flat
manifolds. In this setting the F-theory background can be understood as a IIB orientifold with …
manifolds. In this setting the F-theory background can be understood as a IIB orientifold with …
Higher dimensional Calabi–Yau manifolds of Kummer type
D Burek - Mathematische Nachrichten, 2020 - Wiley Online Library
Abstract Based on Cynk–Hulek method from [7] we construct complex Calabi–Yau varieties
of arbitrary dimensions using elliptic curves with an automorphism of order 6. Also we give …
of arbitrary dimensions using elliptic curves with an automorphism of order 6. Also we give …
Higher Dimensional Analogon of Borcea-Voisin Calabi-Yau Manifolds, Their Hodge Numbers and L-Functions
D Burek - Communications in Mathematical Physics, 2024 - Springer
We construct a series of examples of Calabi-Yau manifolds in an arbitrary dimension and
compute the main invariants. In particular, we give higher dimensional generalization of …
compute the main invariants. In particular, we give higher dimensional generalization of …
Some desultory remarks concerning algebraic cycles and Calabi–Yau threefolds
R Laterveer - Rendiconti del Circolo Matematico di Palermo Series 2, 2016 - Springer
Some desultory remarks concerning algebraic cycles and Calabi–Yau threefolds | SpringerLink
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Calabi–Yau quotients of hyperkähler four-folds
C Camere, A Garbagnati, G Mongardi - Canadian Journal of …, 2019 - cambridge.org
Calabi–Yau Quotients of Hyperkähler Four-folds Page 1 http://dx.doi.org/. /CJM--©Canadian
Mathematical Society Calabi–Yau Quotients of Hyperkähler Four-folds Chiara Camere, Alice …
Mathematical Society Calabi–Yau Quotients of Hyperkähler Four-folds Chiara Camere, Alice …
[图书][B] Arithmetic properties of moduli spaces and topological string partition functions of some Calabi-Yau threefolds
J Zhou - 2014 - search.proquest.com
This thesis studies certain aspects of the global properties, including geometric and
arithmetic, of the moduli spaces of complex structures of some special Calabi-Yau threefolds …
arithmetic, of the moduli spaces of complex structures of some special Calabi-Yau threefolds …
Geometric invariants of surfaces with purely non-symplectic automorphisms
D Burek - arXiv preprint arXiv:2312.07253, 2023 - arxiv.org
We give new relations between geometric invariants of $ K3 $ surfaces with purely non-
symplectic automorphisms of order 4 and 6. Our approach is based on a comparison of two …
symplectic automorphisms of order 4 and 6. Our approach is based on a comparison of two …
The automorphism group of Kodaira surfaces
A Cattaneo - arXiv preprint arXiv:2304.09429, 2023 - arxiv.org
In this paper we give an explicit description of the automorphism group of a primary Kodaira
surface $ X $ in terms of suitable liftings to the universal cover $\mathbb {C}^ 2$. As it …
surface $ X $ in terms of suitable liftings to the universal cover $\mathbb {C}^ 2$. As it …
Hodge numbers of generalised Borcea-Voisin threefolds
D Burek - arXiv preprint arXiv:1702.04913, 2017 - arxiv.org
arXiv:1702.04913v1 [math.AG] 16 Feb 2017 Page 1 HODGE NUMBERS OF GENERALISED
BORCEA-VOISIN THREEFOLDS DOMINIK BUREK Abstract. We shall reproof formulas for the …
BORCEA-VOISIN THREEFOLDS DOMINIK BUREK Abstract. We shall reproof formulas for the …