Results 11 to 20 of about 120 (44)
Computing toric degenerations of flag varieties [PDF]
, 2017 We compute toric degenerations arising from the tropicalization of the full flag varieties $\mathcal{F}\ell_4$ and $\mathcal{F}\ell_5$ embedded in a product of Grassmannians.
Bernd Sturmfels +4 more
core +3 more sources
Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space [PDF]
, 2020 We prove a version of the BKK theorem for the ring of conditions of a spherical homogeneous space $G/H$. We also introduce the notion of ring of complete intersections, firstly for a spherical homogeneous space and secondly for an arbitrary variety ...
Kaveh, Kiumars, Khovanskii, Askold G.
core +3 more sources
Tropical Geometry of T-Varieties with Applications to Algebraic Statistics [PDF]
, 2022 Varieties with group action have been of interest to algebraic geometers for centuries. In particular, toric varieties have proven useful both theoretically and in practical applications.
Cummings, Joseph
core +1 more source
Dimer models from mirror symmetry and quivering amoebae [PDF]
, 2008 Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a singular toric ...
Feng, B. +3 more
core +1 more source
Rational Complexity-One T-Varieties are Well-Poised
, 2017 Given an affine rational complexity-one $T$-variety $X$, we construct an explicit embedding of $X$ in affine space $\mathbb{A}^n$. We show that this embedding is well-poised, that is, every initial ideal of $I_X$ is a prime ideal, and determine the ...
Ilten, Nathan, Manon, Christopher
core +1 more source
Convex bodies and multiplicities of ideals
, 2014 We associate convex regions in R^n to m-primary graded sequences of subspaces, in particular m-primary graded sequences of ideals, in a large class of local algebras (including analytically irreducible local domains).
Kaveh, Kiumars, Khovanskii, A. G.
core +1 more source
, 2012 Toric Geometry plays a major role where a wide variety of mathematical fields intersect, such as algebraic and symplectic geometry, algebraic groups, and combinatorics.
core +2 more sources
Global branching laws by global Okounkov bodies [PDF]
, 2014 Let $G'$ be a complex semisimple group, and let $G \subseteq G'$ be a semisimple subgroup. We show that the branching cone of the pair $(G, G')$, which (asymptotically) parametrizes all pairs $(W, V)$ of irreducible finite-dimensional $G$-representations
Seppänen, Henrik
core
Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
, 2004 We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau spaces.
+131 more
core +5 more sources
On mixed multiplicities of ideals [PDF]
, 2015 Let R be the local ring of a point on a variety X over an algebraically closed field k. We make a connection between the notion of mixed (Samuel) multiplicity of m-primary ideals in R and intersection theory of subspaces of rational functions on X which ...
Kaveh, Kiumars, Khovanskii, A. G.
core