
CalabiYau database
 Referenced in 27 articles
[sw24665]
 describe the singular limits of ambient toric varieties in which CalabiYau threefolds can exist ... information about CalabiYau threefolds using the toric construction, and we provide, in a companion ... smoothed out into multiple distinct toric ambient spaces describing different CalabiYau threefolds. We provide ... then give the details of a variety of quantities associated to each of these Calabi...

CharacteristicClasses
 Referenced in 16 articles
[sw19976]
 classes of subschemes of certain smooth toric varieties, including products of projective spaces. The package ... closed subschemes of certain smooth complete varieties, including products of projective spaces ℙn1 ... this package are applicable for toric varieties for which all Cartier divisors are numerically effective ... Note that to perform computations involving toric varieties it is required that the package NormalToricVarieties...

PALP
 Referenced in 70 articles
[sw00672]
 data and fibration structures for toric CalabiYau varieties. The package is well tested...

cohomCalg
 Referenced in 21 articles
[sw06201]
 sheaf cohomologies for line bundles on toric varieties presented in arXiv:1003.5217 [hepth] ”Cohomology...

cisimplicial
 Referenced in 14 articles
[sw10945]
 GarciaMarco: ’Complete intersections in simplicial toric varieties’, Preprint...

MDSpackage
 Referenced in 13 articles
[sw14423]
 algebraic varieties, comprising the wellknown toric varieties. We provide a first software package...

QuiversToricVarieties
 Referenced in 6 articles
[sw19274]
 construct quivers of sections on complete toric varieties. Given a collection of line bundles ... complete toric variety, the Macaulay2 package QuiversToricVarieties contains functions to construct its quiver of sections ... line bundles for smooth Fano toric varieties of dimension less than or equal...

toric
 Referenced in 4 articles
[sw13612]
 that implements some computations related to toric varieties and combinatorial geometry in GAP. With toric ... affine toric varieties can be created and related information about them can be calculated. toric...

Torhom
 Referenced in 5 articles
[sw07771]
 Moore homology”) of real and complex toric varieties with rational or integer coefficients. Recall that...

TorDiv
 Referenced in 3 articles
[sw14424]
 Public License. It comprises functions on toric varieties and, as this is a strongly related ... study and discussion of (advanced) examples. Toric varieties are entered in terms of their defining...

polymake_toric
 Referenced in 2 articles
[sw22270]
 Toric varieties in Polymake. Also hypersurfaces in toric varieties, torus invariant divisors. Most ... broken. Use at own risk. Toric varieties in Polymake. Also hypersurfaces in toric varieties, torus...

ToricVectorBundles
 Referenced in 4 articles
[sw12129]
 equivariant vector bundles on a toric variety can yield important geometric information about the underlying...

ToricVarieties
 Referenced in 2 articles
[sw20307]
 package ToricVarieties. A package to handle toric varieties. ToricVarieties provides data structures to handle toric ... varieties by their commutative algebra structure and by their combinatorics. For combinatorics, it uses ... suitable framework to work with toric varieties...

GenerationToricFanoFourfolds
 Referenced in 5 articles
[sw19281]
 line bundles on certain smooth toric Fano varieties generate the derived category of coherent sheaves ... explained in Theorem 7.4 (Tilting bundles on toric Fano fourfolds...

PositivityToricBundles
 Referenced in 3 articles
[sw36749]
 vector bundle on a smooth complete toric variety, this package can check the positivity ... this bundle. Additionally, PositivityToricBundles can compute the toric Chern character of a toric vector bundle...

divisors.lib
 Referenced in 3 articles
[sw15680]
 custom class for divisors on algebraic varieties, including methods for computing with them. This includes ... generalization of the construction of affine toric varieties and can be used to shave...

EDPolytope
 Referenced in 1 article
[sw27108]
 Euclidean Distance Degree of A Toric Variety. This page is supplementary material for the article ... Nearest Points on Toric Varieties by Martin Helmer and Bernd Sturmfels. It describes Version ... ChernMather class of a projective toric variety. A download link and examples...

Tiltingsheaves
 Referenced in 2 articles
[sw20285]
 program for computing exceptional sequences on toric varieties...

MESSI
 Referenced in 14 articles
[sw33875]
 ensure an explicit rational parametrization of the variety of steady states (inspired by [Feliu ... important subclass of MESSI systems with toric steady states [Pérez Millán...

cellularSheaves
 Referenced in 3 articles
[sw25131]
 from toric and tropical geometry linking cellular sheaf cohomologies to cohomologies of algebraic varieties ... usage of the extension with examples from toric and tropical geometry...