Results 1 to 10 of about 4,284 (39)

Determinantal Calabi-Yau varieties in Grassmannians and the Givental I-functions

Journal of High Energy Physics, 2018
We examine a class of Calabi-Yau varieties of the determinantal type in Grassmannians and clarify what kind of examples can be constructed explicitly.
Yoshinori Honma, Masahide Manabe
doaj   +3 more sources

Geometric vertex decomposition and liaison

Forum of Mathematics, Sigma, 2021
Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
doaj   +1 more source

Two-dimensional gauge dynamics and the topology of singular determinantal varieties

Journal of High Energy Physics, 2017
We record an observation about the Witten indices in two families of gauged linear sigma models: the U(2) model for linear sections of Grassmannians, and the U(1) model for quadric complete intersections. We describe how the Witten indices are related to
Kenny Wong
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Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties [PDF]

, 2012
The two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi--Yau manifolds of a certain type: complete intersections in toric varieties.
Jockers, Hans, Kumar, Vijay, Lapan, Joshua M., Morrison, David R., Romo, Mauricio   +4 more
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Determinantal representations of semi-hyperbolic polynomials [PDF]

, 2016
We prove a generalization of the Hermitian version of the Helton-Vinnikov determinantal representation of hyperbolic polynomials to the class of semi-hyperbolic polynomials, a strictly larger class, as shown by an example.
Knese, Greg
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Linear determinantal equations for all projective schemes [PDF]

, 2011
We prove that every projective embedding of a connected scheme determined by the complete linear series of a sufficiently ample line bundle is defined by the 2-minors of a 1-generic matrix of linear forms.
Catalano-Johnson, Eisenbud, Fujino, Fujita, Gallego, Green, Green, Green, Gregory Smith, Jessica Sidman, Lazarsfeld, Mumford, Mustaţă, Sturmfels, Sturmfels, Weibel   +15 more
core   +3 more sources

Arcs on Determinantal Varieties

, 2011
We study arc spaces and jet schemes of generic determinantal varieties. Using the natural group action, we decompose the arc spaces into orbits, and analyze their structure.
Docampo, Roi
core   +1 more source

Maximum Likelihood Duality for Determinantal Varieties

, 2012
In a recent paper, Hauenstein, Sturmfels, and the second author discovered a conjectural bijection between critical points of the likelihood function on the complex variety of matrices of rank r and critical points on the complex variety of matrices of ...
Draisma, Jan, Rodriguez, Jose
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Phylogenetic Algebraic Geometry [PDF]

, 2004
Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution.
Eriksson, Nicholas, Ranestad, Kristian, Sturmfels, Bernd, Sullivant, Seth   +3 more
core  

Littlewood complexes and analogues of determinantal varieties

, 2014
One interesting combinatorial feature of classical determinantal varieties is that the character of their coordinate rings give a natural truncation of the Cauchy identity in the theory of symmetric functions.
Sam, Steven V, Weyman, Jerzy
core   +1 more source