Stable Modification of Relative Curves
نویسنده
چکیده
We generalize theorems of Deligne-Mumford and de Jong on semistable modifications of families of proper curves. The main result states that after a generically étale alteration of the base any (not necessarily proper) family of multipointed curves with semi-stable generic fiber admits a minimal semi-stable modification. The latter can also be characterized by the property that its geometric fibers have no certain exceptional components. The main step of our proof is uniformization of one-dimensional extensions of valued fields. Riemann-Zariski spaces are then used to obtain the result over any
منابع مشابه
Gas-liquid Relative Permeability Estimation in 2D Porous Media by Lattice Boltzmann Method: Low Viscosity Ratio 2D LBM Relative Permeability
This work is a primary achievement in studying the CO2 and N2–oil systems. To predict gas-liquid relative permeability curves, a Shan-Chen type multicomponent multiphase lattice Boltzmann model for two-phase flow through 2D porous media is developed. Periodic and bounce back boundary conditions are applied to the model with the Guo scheme for the external body force (i.e.,...
متن کاملChemical Modification of Nanosilica Toward Dispersive Solid Phase Extraction of Trace Triazine Herbicides from Environmental Water Samples
An easy and fast pathway in preparation of organo-functionalized silica in nanosize range withphenyl-terminated group via co-condensation method is reported. Fourier transform infrared(FTIR) spectra confirmed the grafting process and scanning electron microscopy (SEM) imagecorroborated formation of nanosized material. Applicability of phenyl-modified nanosilica wasexamined as a sorbent in dispe...
متن کاملEffect of Reclaimed rubber Modification on the Rheological Properties and Rutting Resistance of Asphalt Binders
In this paper, the effect of reclaimed rubber modification on the rheological characteristics of asphalt binders is studied. Reclaimed rubber with the extent of 12, 16 and 20 is added to the neat asphalt binder and then shear complex modulus is obtained for neat and modified asphalt binder via Dynamic Shear Rheometer (DSR) test. Using Christensen-Anderson- Marasteanu (CAM) model, master curves ...
متن کاملمطالعات آزمایشگاهی تراوایی نسبی دو فازی در سنگهای کربناته ایران
In this paper, the effect of flow rate on relative permeability curves was investigated in Iranian carbonate rocks. Core samples were prepared from outcrop of Asmari formation. The dynamic displacement experiments were performed at 2.55, 3.55, 4.55 and 5.55 cc/hr during waterflooding and oilflooding. Relative permeabilities have been calculated with the Jones and Roszelle method and then the fl...
متن کاملAn Efficient Method for Determining Capillary Pressure and Relative Permeability Curves from Spontaneous Imbibition Data
In this paper, a very efficient method, called single matrix block analyzer (SMBA), has been developed to determine relative permeability and capillary pressure curves from spontaneous imbibition (SI) data. SMBA mimics realistically the SI tests by appropriate boundary conditions modeling. In the proposed method, a cuboid with an identical core plug height is considered. The equal dimensions of...
متن کامل