We prove that the Cox ring of the projectivization P(E) of a rank two toric vector bundle E , over a toric variety X, is a finitely generated k-algebra. As a consequence, P(E) is a Mori dream space if the toric variety X is projective and simplicial.

We study the A-discriminant of toric varieties. We reduce its computation to the case of irreducible configurations and describe its behavior under specialization of some of the variables to zero. We give characterizations of dual defect toric varieties in terms of their Gale dual and classify dual defect toric varieties of codimension less than or equal to four.

PURPOSE To study in situ the intraocular position of the Artisan iris-claw intraocular lens (IOL) (model 203) (Ophtec) in phakic hyperopic eyes using ultrasound biomicroscopy (UBM). METHODS Echograms of the anterior chamber were taken preoperatively and 24 to 317 days postoperatively in 4 eyes implanted with the Artisan IOL (power +4.0 to +6.0 diopters). The preoperative anterior chamber dept...

PURPOSE To determine patient satisfaction after Artisan phakic intraocular lens (PIOL) implantation to correct myopia. DESIGN Non-comparative prospective case series. METHODS One hundred twenty eyes of 60 patients who had undergone Artisan PIOL implantation to correct myopia were analyzed. A validated questionnaire that consisted of 66 satisfaction items were self-administered by patients 1...

PURPOSE To evaluate the efficacy, safety, predictability and stability of implanting a polymethylmethacrylate phakic intraocular lens (PIOL) in high myopia. MATERIALS AND METHODS A retrospective analysis of the data of patients who underwent Artisan phakic IOL implantation between 2002 and 2003 with a follow-up of at least 24 months. RESULTS An Artisan myopia lens was implanted in 60 eyes o...

PURPOSE The aim of this study was to compare a new diffractive trifocal toric lens with an apodized diffractive bifocal toric lens in terms of refractive and visual acuity (VA) outcomes, including low-contrast VA (LCVA), as well as the patient's visual function 3 months after implantation. PATIENTS AND METHODS This is a randomized prospective study involving bilateral implantation of a trifoc...

Smooth toric Fano varieties are classified up to dimension 4. In dimension 2, there are five toric Del Pezzo surfaces: P, P1×P1, and Si, the blowup of P in i points, for i = 1, 2, 3. There are 18 toric Fano 3-folds [2, 20] and 124 toric Fano 4-folds [4, 17]. In higher dimensions, little is known about them and many properties that hold in low dimensions are not known to hold in general. Let X b...

Endothelial keratoplasty (EK) is the most exciting recent development in corneal transplantation. It has experienced surprisingly rapid growth in a very short period of time. One of the indications for EK is pseudophakic bullous keratopathy. However, concomitant intraocular lens (IOL) exchange, if indicated, may prove challenging. Some surgeons routinely perform IOL exchange with a scleral-fixa...

OBJECTIVE To evaluate the safety, efficacy, predictability, and long-term stability of the Artisan Phakic Intraocular Lens (Ophtec BV, Groningen, the Netherlands) for the correction of high myopia. METHODS Prospective analysis of 26 eyes from 15 patients who underwent placement of the Artisan lens for the correction of high and extreme myopia. The mean (SD) preoperative spherical equivalent w...

PURPOSE To evaluate the implantation of Artisan/Verisyse phakic intraocular lenses (pIOLs) (Advanced Medical Optics) as an effective and safe method for the correction of high myopia. SETTING Department of Ophthalmology, John A. Moran Eye Center, University of Utah Medical Center, Salt Lake City, Utah, USA. METHODS This retrospective outcomes trial examined the implantation of Artisan/Veris...