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Stable rationality of hypersurfaces of mock toric variety I
We introduce a mock toric variety, a generalization of a toric variety. For a non-toric example, Del-Pezzo surfaces are mock toric varieties. These new varieties inherit some properties of mock toric varieties.
Yoshino, Taro
core
, 2008 This paper is a tutorial in the basic theory of toric varieties. It discusses their definition using fans, homogeneous coordinates, and polytopes. Numerous examples are included.
David Cox
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The homogeneous coordinate ring of a toric variety
, 2013 David A. Cox
semanticscholar +1 more source
Quotients of an affine variety by an action of a torus
Open Mathematics, 2013 Chuvashova Olga, Pechenkin Nikolay
doaj +1 more source
, 1998 A toric prevariety is a normal complex prevariety endowed with an effective regular torus action that has a dense orbit. We introduce the concept of a system of fans in a lattice and obtain an equivalence of the category of systems of fans and the ...
Annette A'Campo-Neuen +1 more
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D-brane gauge theories from toric singularities and toric duality
, 2001 Via partial resolution of Abelian orbifolds we present an algorithm for extracting a consistent set of gauge theory data for an arbitrary toric variety whose singularity a D-brane probes.
Yang-Hui He +5 more
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Images of toric varieties and liftability of the Frobenius morphism
, 2017 The celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geometry of higher dimensional varieties through the analysis of deformations of rational curves.
Achinger, Piotr
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, 2002 Extending work of Bielawski-Dancer and Konno, we develop a theory of toric hyperkahler varieties, which involves toric geometry, matroid theory and convex polyhedra.
Hausel, Tamas, Sturmfels, B, Hausel, T
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Eulerian numbers, tableaux, and the Betti numbers of a toric variety
Discrete Mathematics, 1992 J. Stembridge
semanticscholar +1 more source