Results 21 to 30 of about 67 (65)

Semistable degenerations of Calabi–Yau manifolds and mirror P=W conjectures

open access: yesForum of Mathematics, Sigma
Mirror symmetry for a semistable degeneration of a Calabi–Yau manifold was first investigated by Doran–Harder–Thompson when the degenerate fiber is a union of two quasi-Fano manifolds.
Sukjoo Lee
doaj   +1 more source

Resolutions of toric subvarieties by line bundles and applications

open access: yesForum of Mathematics, Pi
Given any toric subvariety Y of a smooth toric variety X of codimension k, we construct a length k resolution of ${\mathcal O}_Y$ by line bundles on X. Furthermore, these line bundles can all be chosen to be direct summands of the pushforward of
Andrew Hanlon, Jeff Hicks, Oleg Lazarev
doaj   +1 more source

Root, flow and order polytopes with connections to toric geometry

open access: yesForum of Mathematics, Sigma
In this paper, we study the class of polytopes which can be obtained by taking the convex hull of some subset of the points $\{e_i-e_j \ \vert \ i \neq j\} \cup \{\pm e_i\}$ in $\mathbb {R}^n$ , where $e_1,\dots ,e_n$ is the standard ...
Konstanze Rietsch   +1 more
doaj   +1 more source

Polymatroids and moduli of points in flags

open access: yesForum of Mathematics, Sigma
We introduce and study different compactifications of the moduli space of n distinct weighted labeled points in a flag of affine spaces. We construct these spaces via the weighted and generalized Fulton-MacPherson compactifications of Routis and Kim-Sato.
Patricio Gallardo   +2 more
doaj   +1 more source

Newton polygons and curve gonalities

open access: yes, 2012
We give a combinatorial upper bound for the gonality of a curve that is defined by a bivariate Laurent polynomial with given Newton polygon. We conjecture that this bound is generically attained, and provide proofs in a considerable number of special ...
Wouter Castryck, Filip Cools
core  

GKZ Hypergeometric Structures

open access: yes, 2007
This text is based on lectures by the author in the Summer School Algebraic Geometry and Hypergeometric Functions in Istanbul in June 2005. It gives a review of some of the basic aspects of the theory of hypergeometric structures of Gelfand, Kapranov ...
Stienstra, J.
core  

On orbits of the automorphism group on an affine toric variety

open access: yesOpen Mathematics, 2013
Arzhantsev Ivan, Bazhov Ivan
doaj   +1 more source

The set of toric minimal log discrepancies

open access: yesOpen Mathematics, 2006
Ambro Florin
doaj   +1 more source

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