[图书][B] Lectures on K3 surfaces

D Huybrechts - 2016 - books.google.com
K3 surfaces are central objects in modern algebraic geometry. This book examines this
important class of Calabi–Yau manifolds from various perspectives in eighteen self …

Birationally rigid Fano varieties

IA Cheltsov - Russian Mathematical Surveys, 2005 - iopscience.iop.org
The birational superrigidity and, in particular, the non-rationality of a smooth three-
dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led …

Toric Landau–Ginzburg models

VV Przyjalkowski - Russian Mathematical Surveys, 2018 - iopscience.iop.org
This review of the theory of toric Landau–Ginzburg models describes an effective approach
to mirror symmetry for Fano varieties. It focuses mainly on the cases of dimensions $2 $ and …

Fano 3-folds, K3 surfaces and graded rings

S Altınok, G Brown, M Reid - Topology and geometry …, 2002 - books.google.com
Explicit birational geometry of 3-folds represents a second phase of Mori theory, going
beyond the foundational work of the 1980s. This paper is a tutorial and colloquial …

[PDF][PDF] An atlas of K3 surfaces with finite automorphism group

X Roulleau - Épijournal de Géométrie Algébrique, 2022 - epiga.episciences.org
We study the geometry of the K3 surfaces X with a finite number automorphisms and Picard
number ≧3. We describe these surfaces classified by Nikulin and Vinberg as double covers …

Discrete symmetries in heterotic/F-theory duality and mirror symmetry

M Cvetič, A Grassi, M Poretschkin - Journal of High Energy Physics, 2017 - Springer
A bstract We study aspects of Heterotic/F-theory duality for compactifications with Abelian
discrete gauge symmetries. We consider F-theory compactifications on genus-one fibered …

Enhancements in F-theory models on moduli spaces of K3 surfaces with ADE rank 17

Y Kimura, S Mizoguchi - Progress of Theoretical and …, 2018 - academic.oup.com
We study the moduli of elliptic K3 surfaces with a section with the rank 17. While the Picard
number of a generic K3 surface in such moduli space is 19, the Picard number is enhanced …

Non-geometric Calabi-Yau backgrounds and K3 automorphisms

CM Hull, D Israël, A Sarti - Journal of High Energy Physics, 2017 - Springer
A bstract We consider compactifications of type IIA superstring theory on mirror-folds
obtained as K3 fibrations over two-tori with non-geometric monodromies involving mirror …

Picard lattices of families of K3 surfaces

SM Belcastro - Communications in Algebra, 2002 - Taylor & Francis
Using toric geometry, lattice theory, and elliptic surface techniques, we compute the Picard
Lattice of certain K3 surfaces. In particular, we examine the generic member of each of M …

A note on elliptic K3 surfaces

JH Keum - Transactions of the American Mathematical Society, 2000 - ams.org
We study the relationship between an elliptic fibration on an elliptic K3 surface and its
Jacobian surface. We give an explicit description of the Picard lattice of the Jacobian …