Heterotic strings on $$\mathbbm {T} $$3/ℤ2, Nikulin involutions and M-theory

BS Acharya, G Aldazabal, A Font, K Narain… - Journal of High Energy …, 2022 - Springer
A bstract We first describe the low energy dynamics of ten dimensional heterotic
supergravity compactified on the smooth, flat 3-manifold\(\mathbbm {T}\) 3/ℤ 2, without …

Curves and cycles on K3 surfaces

D Huybrechts, C Voisin - arXiv preprint arXiv:1303.4564, 2013 - arxiv.org
The notion of constant cycle curves on K3 surfaces is introduced. These are curves that do
not contribute to the Chow group of the ambient K3 surface. Rational curves are the most …

Elliptic fibrations on K3 surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus

A Garbagnati, C Salgado - Revista Matematica Iberoamericana, 2020 - ems.press
In this paper we complete the classification of the elliptic fibrations on K3 surfaces which
admit a non-symplectic involution acting trivially on the Néron–Severi group. We use the …

W = 0 Complex Structure Moduli Stabilization on CM-type K3 K3 Orbifolds: Arithmetic, Geometry and Particle Physics

K Kanno, T Watari - Communications in Mathematical Physics, 2023 - Springer
It is an important question in string compactification whether complex structure moduli
stabilization inevitably ends up with a vacuum expectation value of the superpotential W of …

Non-symplectic automorphisms of order 3, 4, and 6 of K3 surfaces with smooth quotient

T Hayashi - Communications in Algebra, 2023 - Taylor & Francis
Let X be a K 3 surface, and g be a primitive non-symplectic automorphism of X of order 3, 4,
or 6. We write the quotient space as X/〈 g〉 and the quotient morphism as p: X→ X/〈 g〉. In …

Van Geemen-Sarti involutions and elliptic fibrations on K3 surfaces double cover of ℙ2

P Comparin, A Garbagnati - Journal of the Mathematical Society of …, 2014 - jstage.jst.go.jp
In this paper we classify the elliptic fibrations on K3 surfaces which are the double cover of a
blow up of P2 branched along rational curves and we give equations for many of these …

K3 surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups

A Garbagnati, M Penegini - Revista matemática iberoamericana, 2015 - ems.press
We classify all the K3 surfaces which are minimal models of the quotient of the product of
two curves C1× C2 by the diagonal action of either the group Z/pZ or the group Z/2pZ where …

Calabi–Yau 3-folds of Borcea–Voisin type and elliptic fibrations

A Cattaneo, A Garbagnati - Tohoku Mathematical Journal, Second …, 2016 - jstage.jst.go.jp
We consider Calabi–Yau 3-folds of Borcea–Voisin type, ie Calabi–Yau 3-folds obtained as
crepant resolutions of a quotient (S× E)/(αS× αE), where S is a K3 surface, E is an elliptic …

Non-symplectic automorphisms of order multiple of seven on K3 surfaces

R Bell, P Comparin, J Li, A Rincón-Hidalgo… - Journal of Pure and …, 2024 - Elsevier
In this paper we present a complete classification of non-symplectic automorphisms of K3
surfaces whose order is a multiple of seven by describing the topological type of their fixed …

[引用][C] Lectures on K3 surfaces

D Huybrechts - 2016 - Cambridge University Press