toric varieties
A geometric characterization of toric varieties
... Toric varieties appear frequently in algebraic ...a toric variety is so restrictive; X is normal and there is an open subset isomorphic to a torus such that the action of the torus on itself extends ...
41
Multiple quantum products in toric varieties
... for toric varieties, to apply them in Section 5 to the case where β = ...symplectic toric manifolds in this case, and in Section 7, we illustrate the formula on the example of P P 1 ( ᏻ ⊕ (r − 2) ⊕ ᏻ ...
12
Descent Systems, Eulerian Polynomials and Toric Varieties
... Toric varieties and their cohomology have played an increasingly important role in studying the combinatorics of convex ...projective toric varieties. This connection between the topology of ...
126
Mapping toric varieties into low dimensional spaces
... Abstract. A smooth d -dimensional projective variety X can always be em- bedded into 2 d + 1-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our requirement ...
29
Tilting Sheaves on Brauer-Severi Schemes and Arithmetic Toric Varieties
... of toric varieties from the viewpoint of ...split toric variety from a fan and establish the important fact that the equivariant morphisms of two toric varieties are in a one-to-one ...
129
Jumping deformations of complete toric varieties
... 3. Constructions of families. In this section, we construct one-parameter complex analytic families whose fibers are nonsingular complete varieties. In particular, the special fibers are nonsingular complete ...
13
UnHiggsing the del Pezzo
... fact toric varieties. We will see that these toric moduli spaces are not generic, smooth dP 4 and dP 5, but degenerate cases with non-isolated ...
41
Acknowledgments
... certain toric varieties can be realized as complete intersections in others; in such cases, the quantum cohomology computed here must reproduce the answer obtained in Chapter ...
61
GKM theory of rationally smooth group embeddings
... A group embedding X is a compactification of an algebraic group G endowed with a G × G-action that extends the natural two-sided action of G on itself. It is worth emphasizing that this is a generalization of the notion ...
136
Scheidegger, Emanuel Gilbert (2001): D-branes on Calabi-Yau Spaces. Dissertation, LMU München: Fakultät für Physik
... in toric varieties (for which there exists a classification ...that toric varieties have an underlying group structure which allows to reduce almost all of the topological properties of these ...
196
Heterotic bundles on Calabi-Yau manifolds with small Picard number
... Before dividing the manifold by a discrete symmetry and including Wilson lines these bundles lead to SU (5) GUT models with the net number of 10 and ¯ 5 families equal to 3 times a possible symmetry order. Since we are ...
27
Toric degenerations, Fano schemes and computations in tropical geometry
... Definition 3.3.1. There exists a unimodular equivalence between two lattice poly- topes P and Q (resp. two fans F and G ) if there exists an affine lattice isomorphism of the ambient lattices sending the vertices (resp. ...
106
Small polygons and toric codes
... to toric log del Pezzo surfaces, using the classification of all 15,346 LDP-polygons of index ℓ ≤ 17 ...for toric log del Pezzo codes over the smallest possible field F q reveals no ...
9
Comparison of the Astigmatic Power of Toric Intraocular Lenses Using Three Toric Calculators
... of toric IOL with the online AcrySof and TECNIS calculators, ker- atometric values (steep K, flat K, and their corresponding axes), SIA, incision location, and spherical power of the IOL were ...
9
Invariants of toric seiberg duality
... The toric diagram corresponding to the dimer model captures the alignment of (p, q)-five branes that recapitulates the quantum field theory in question ...the toric diagram. The Newton polynomial defined by ...
44
<p>Refractive and Visual Outcomes After Bilateral Implantation of a Trifocal Intraocular Lens in a Large Population</p>
... A retrospective chart review of patients undergoing bilat- eral cataract surgery or refractive lens exchange (RLE) surgery was conducted, to locate patients bilaterally implanted with the trifocal or toric ...
8
High-cylinder toric intraocular lens implantation versus combined surgery of low-cylinder intraocular lens implantation and limbal relaxing incision for high-astigmatism eyes
... toric group or using the Fukuyama LRI 60 ° marker (ASICO) in the LRI group. Two 0.9 mm corneal incisions were then made; one incision each at the 10- and 2-o’clock positions, respectively, using a 0.9 mm MVR knife ...
7
Comparison of visual outcomes after implantation of diffractive trifocal toric intraocular lens and a diffractive apodized bifocal toric intraocular lens
... Another common measure of overall visual function is the NEI-VFQ questionnaire; all subjects in the current study completed the questionnaire. The subscales for gen- eral vision, near vision, distance vision, and driving ...
7
Comparison of Toric Foldable Iris Fixated Phakic Intraocular Lens Implantation and Limbal Relaxing Incisions for Moderate to High Myopic Astigmatism
... In the toric group, a 2.8-mm primary limbal incision was made at the marked meridians, and two sub-1.0-mm stab in- cisions were placed nasally and temporally to the primary in- cision, as seen fit by the surgeon. ...
7
Comparison of visual performance of toric versus non-toric intraocular lenses with same material
... with toric IOLs and non-toric ...the toric IOL implanted eyes than the non-toric IOL implanted eyes, whereas near VA at 50 cm was significantly worse in the toric IOL implanted eyes ...
7