Towards a mirror theorem for GLSMs
M Shoemaker - arXiv preprint arXiv:2108.12360, 2021 - arxiv.org
We propose a method for computing generating functions of genus-zero invariants of a
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …
gauged linear sigma model $(V, G,\theta, w) $. We show that certain derivatives of $ I …
A proof of the birationality of certain BHK-mirrors
P Clarke - Complex Manifolds, 2014 - degruyter.com
A proof of the birationality of certain BHK-mirrors Page 1 © 2014 Patrick Clarke, licensee De
Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercialNoDerivs …
Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercialNoDerivs …
From cracked polytopes to Fano threefolds
T Prince - manuscripta mathematica, 2021 - Springer
We construct Fano threefolds with very ample anti-canonical bundle and Picard rank greater
than one from cracked polytopes—polytopes whose intersection with a complete fan forms a …
than one from cracked polytopes—polytopes whose intersection with a complete fan forms a …
An extension of polar duality of toric varieties and its consequences in Mirror Symmetry
M Rossi - arXiv preprint arXiv:2003.08700, 2020 - arxiv.org
The present paper is dedicated to illustrating an extension of polar duality between Fano
toric varieties to a more general duality, called\emph {framed} duality, so giving rise to a …
toric varieties to a more general duality, called\emph {framed} duality, so giving rise to a …
A Derived Equivalence of the Libgober–Teitelbaum and the Batyrev–Borisov Mirror Constructions
A Malter - International Mathematics Research Notices, 2024 - academic.oup.com
In this paper, we study a particular mirror construction to the complete intersection of two
cubics in, due to Libgober and Teitelbaum. Using variations of geometric invariant theory …
cubics in, due to Libgober and Teitelbaum. Using variations of geometric invariant theory …
Framed duality and mirror symmetry for toric complete intersections
M Rossi - Journal of Geometry and Physics, 2023 - Elsevier
This paper is devoted to systematically extend f-mirror symmetry between families of
hypersurfaces in complete toric varieties, as introduced in [17], to families of complete …
hypersurfaces in complete toric varieties, as introduced in [17], to families of complete …
Equivalences of families of stacky toric Calabi-Yau hypersurfaces
Given the same anti-canonical linear system on two distinct toric varieties, we provide a
derived equivalence between partial crepant resolutions of the corresponding stacky …
derived equivalence between partial crepant resolutions of the corresponding stacky …
Mirror constructions for K3 surfaces from bimodal singularities
M Mase, U Whitcher - Women in Numbers Europe IV: Research Directions …, 2024 - Springer
Given a K3 surface realized as a hypersurface in a weighted projective space or a
Gorenstein Fano toric variety, one may construct a mirror K3 surface in various ways …
Gorenstein Fano toric variety, one may construct a mirror K3 surface in various ways …
from Bimodal Singularities
M Mase, U Whitcher - Women in Numbers Europe IV: Research … - books.google.com
Given a K3 surface realized as a hypersurface in a weighted projective space or a
Gorenstein Fano toric variety, one may construct a mirror K3 surface in various ways …
Gorenstein Fano toric variety, one may construct a mirror K3 surface in various ways …
Mutation equivalence of toric Landau-Ginzburg models
T Prince - arXiv preprint arXiv:2006.01477, 2020 - arxiv.org
Given a Fano complete intersection defined by sections of a collection nef line bundles $
L_1,\ldots, L_c $ on a Fano toric manifold $ Y $, a construction of Givental/Hori-Vafa …
L_1,\ldots, L_c $ on a Fano toric manifold $ Y $, a construction of Givental/Hori-Vafa …