• PALP

  • Referenced in 57 articles [sw00672]
  • data and fibration structures for toric Calabi-Yau varieties. The package is well tested...
  • Calabi-Yau database

  • Referenced in 18 articles [sw24665]
  • describe the singular limits of ambient toric varieties in which Calabi-Yau threefolds can exist ... information about Calabi-Yau threefolds using the toric construction, and we provide, in a companion ... smoothed out into multiple distinct toric ambient spaces describing different Calabi-Yau threefolds. We provide ... then give the details of a variety of quantities associated to each of these Calabi...
  • CharacteristicClasses

  • Referenced in 11 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...
  • cohomCalg

  • Referenced in 18 articles [sw06201]
  • sheaf cohomologies for line bundles on toric varieties presented in arXiv:1003.5217 [hep-th] ”Cohomology...
  • cisimplicial

  • Referenced in 12 articles [sw10945]
  • Garcia-Marco: ’Complete intersections in simplicial toric varieties’, Preprint...
  • MDSpackage

  • Referenced in 8 articles [sw14423]
  • algebraic varieties, comprising the well-known toric varieties. We provide a first software package...
  • QuiversToricVarieties

  • Referenced in 4 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...
  • 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 ... Chern-Mather class of a projective toric variety. A download link and examples...
  • GenerationToricFanoFourfolds

  • Referenced in 3 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...
  • divisors.lib

  • Referenced in 1 article [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...
  • cellularSheaves

  • Referenced in 2 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...
  • cdd

  • Referenced in 100 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • CoCoA

  • Referenced in 564 articles [sw00143]
  • CoCoA is a system for Computations in Commutative...