- Max Planck Institute for Gravitational PhysicsDE902 papers
- Centre National de la Recherche ScientifiqueFR408 papers
- University of BirminghamGB324 papers
- University of GlasgowGB320 papers
- California Institute of TechnologyUS313 papers
- University of Wisconsin–MilwaukeeUS307 papers
- Stanford UniversityUS280 papers
- Cardiff UniversityGB277 papers
- Massachusetts Institute of TechnologyUS277 papers
- University of FloridaUS277 papers
- Syracuse UniversityUS274 papers
- Goddard Space Flight CenterUS273 papers
10 papers · 2 filters
Compactified Jacobians as Mumford models
Karl Christ, Sam Payne, Tif Shen
We show that relative compactified Jacobians of one-parameter smoothings of a nodal curve of genus g are Mumford models of the generic fiber. Each such model is given by an admissi…
Torsion orders of Fano hypersurfaces
Stefan Schreieder
We find new lower bounds on the torsion orders of very general Fano hypersurfaces over (uncountable) fields of arbitrary characteristic. Our results imply that unirational parametr…
The Mori fan of the Dolgachev-Nikulin-Voisin family in genus
Klaus Hulek, Carsten Liese
In this paper we study the Mori fan of the Dolgachev-Nikulin-Voisin family in degree as well as the associated secondary fan. The main result is an enumeration of all maximal d…
Degenerations of Grassmannians via lattice configurations
Xiang He, Naizhen Zhang
We study degenerations of Grassmannians constructed using convex lattice configurations in Bruhat-Tits buildings. Using techniques from quiver representations, we analyze their spe…
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Evgeny Shinder, Ziyu Zhang
We construct nontrivial L-equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples o…
Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
Wolfgang Ebeling, Sabir M. Gusein-Zade
P. Berglund, T. Hübsch, and M. Henningson proposed a method to construct mirror symmetric Calabi-Yau manifolds. They considered a pair consisting of an invertible polynomial and of…