Results 11 to 20 of about 67 (65)
Birationality of mirror models for Fano toric complete intersections
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1390-1406, October 2021., 2021 Abstract Given a Fano complete intersection defined by sections of a collection nef line bundles L1,…,Lc on a Fano toric manifold Y, a construction of Givental/Hori–Vafa provides a mirror‐dual Landau–Ginzburg model. This construction depends on a choice of suitable nef partition; that is, a partition of the rays of the fan determined by Y. We show that
Thomas Prince
wiley +1 more source
Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020 Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley +1 more source
INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM
Mathematika, Volume 66, Issue 4, Page 1003-1027, October 2020., 2020 Abstract In the course of classifying generic sparse polynomial systems which are solvable in radicals, Esterov recently showed that the volume of the Minkowski sum P1+⋯+Pd of d‐dimensional lattice polytopes is bounded from above by a function of order O(m2d), where m is the mixed volume of the tuple (P1,⋯,Pd).
Gennadiy Averkov +2 more
wiley +1 more source
Bulletin of the London Mathematical Society, Volume 52, Issue 1, Page 16-23, February 2020., 2020 Abstract Answering a question by Nisse and Sottile, we derive a formula for the dimension of the amoeba of an irreducible algebraic variety.
Jan Draisma, Johannes Rau, Chi Ho Yuen
wiley +1 more source
On hypersurface quotient singularities of dimension 4
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 48, Page 2547-2581, 2004., 2004 We consider geometrical problems on Gorenstein hypersurface orbifolds of dimension n ≥ 4 through the theory of Hilbert scheme of group orbits. For a linear special group G acting on ℂn, we study the G‐Hilbert scheme HilbG(ℂn) and crepant resolutions of ℂn/G for G the A‐type abelian group Ar(n).
Li Chiang, Shi-Shyr Roan
wiley +1 more source
Jumping deformations of complete toric varieties
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3101-3113, 2003., 2003 We construct one‐parameter complex analytic families whose special fibers are complete toric varieties. Under appropriate assumptions, the general fibers of these families also become toric varieties, and the corresponding fans are explicitly described by the data of the fans associated to the special fibers.
Hiroshi Sato
wiley +1 more source
Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]
Épijournal de Géométrie AlgébriqueWe study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 5, Page 647-659, October 2025.Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster +5 more
wiley +1 more source
Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity [PDF]
Épijournal de Géométrie AlgébriqueWahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the local Euler characteristic of sheaves of symmetric differentials for isolated ...
Nils Bruin, Nathan Ilten, Zhe Xu
doaj +1 more source
A short proof of the Hanlon-Hicks-Lazarev Theorem
Forum of Mathematics, SigmaWe give a short new proof of a recent result of Hanlon-Hicks-Lazarev about toric varieties. As in their work, this leads to a proof of a conjecture of Berkesch-Erman-Smith on virtual resolutions and to a resolution of the diagonal in the simplicial case.
Michael K. Brown, Daniel Erman
doaj +1 more source