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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …