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A survey of intraocular lens preferences of UK refractive surgeons for cataract surgery and refractive lens exchange. [PDF]

BMC Ophthalmol
Kabbani J, Price L, Patel R, Din N, Bizrah M.   +4 more
europepmc   +1 more source

Tropical expansions and toric variety bundles

Manuscripta mathematica, 2022
A tropical expansion is a degeneration of a toroidal embedding, induced by a polyhedral subdivision of its tropicalisation. Each irreducible component of a tropical expansion admits a collapsing map down to a stratum of the original variety. We study the
Francesca Carocci, Navid Nabijou
semanticscholar   +3 more sources

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On orbits of the automorphism group on a complete toric variety

Beitrage Zur Algebra Und Geometrie, 2011
Let X be a complete toric variety and Aut(X) be the automorphism group. We give an explit description of Aut(X)-orbits on X. In particular, we show that Aut(X) acts on X transitively if and only if X is a product of projective spaces.
Ivan Bazhov
exaly   +2 more sources

The arc space of a toric variety

Journal of Algebra, 2004
The Nash problem on arc families is affirmatively answered for a toric variety by Ishii and Kollár's paper which also shows the negative answer for general case. The Nash problem is one of questions about the relation between arc families and valuations.
Ishii, Shihoko
exaly   +2 more sources

Fiber Fans and Toric Quotients

Discrete and Computational Geometry, 2007
The GIT chamber decomposition arising from a subtorus action on a polarized quasiprojective toric variety is a polyhedral complex. Denote by Σ the fan that is the cone over the polyhedral complex.
Alastair Craw, Craw Alastair
exaly   +2 more sources

Toric varieties

2005
semanticscholar   +3 more sources

Poincaré series of a toric variety

Journal of Algebra, 2007
For an affine toric variety X we compute the Poincaré series of the multi-index filtration defined by a finite number of monomial divisorial valuations on the ring OX,0.
Lemahieu, Ann
exaly   +2 more sources

Toric Varieties of Schröder Type

Proceedings of the Steklov Institute of Mathematics, 2022
A dissection of a polygon is obtained by drawing diagonals such that no two diagonals intersect in their interiors. In this paper, we define a toric variety of Schröder type as a smooth toric variety associated with a polygon dissection. Toric varieties of Schröder type are Fano generalized Bott manifolds, and they are isomorphic if and only if the ...
Huh, JiSun, Park, Seonjeong
openaire   +2 more sources