Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Priddis, Nathan"'
We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that th
Externí odkaz:
http://arxiv.org/abs/2404.12303
We study the genus-zero Gromov-Witten theory of two natural resolutions of determinantal varieties, termed the PAX and PAXY models. We realize each resolution as lying in a quiver bundle, and show that the respective quiver bundles are related by a q
Externí odkaz:
http://arxiv.org/abs/2403.05240
BHK mirror symmetry as introduced by Berglund--H\"ubsch and Marc Krawitz between Landau--Ginzburg (LG) models has been the topic of much study in recent years. An LG model is determined by a potential function and a group of symmetries. BHK mirror sy
Externí odkaz:
http://arxiv.org/abs/2302.02782
Publikováno v:
In Journal of Geometry and Physics May 2024 199
We consider K3 surfaces of Picard rank 14 which admit a purely nonsymplectic automorphism of order 16. The automorphism acts on the second cohomology group with integer coefficients and we compute the invariant sublattice for the action. We show that
Externí odkaz:
http://arxiv.org/abs/1912.09803
Autor:
Dumitrescu, Olivia, Priddis, Nathan
In this paper we introduce and study divisorial (i) classes} for the blow up of projective space in several points for i=-1,0 and 1. We generalize Noether's inequality, and we prove that all divisorial (i) classes are in bijective correspondence with
Externí odkaz:
http://arxiv.org/abs/1905.00074
For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror symmetry, is based on a
Externí odkaz:
http://arxiv.org/abs/1901.09373
Publikováno v:
SIGMA 16 (2020), 059, 31 pages
We consider Landau-Ginzburg models stemming from groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group $G^\star$, which serves as the appropriate choice of gr
Externí odkaz:
http://arxiv.org/abs/1812.06200
Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a given square-free m > 1, the relation P=mP' is satisfied by infinitely
Externí odkaz:
http://arxiv.org/abs/1806.07981
Publikováno v:
Illinois J. Math. 63, no. 3 (2019), 425-461
FJRW theory is a formulation of physical Landau-Ginzburg models with a rich algebraic structure, rooted in enumerative geometry. As a consequence of a major physical conjecture, called the Landau-Ginzburg/Calabi-Yau correspondence, several birational
Externí odkaz:
http://arxiv.org/abs/1708.05775