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The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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from char. o to char. p provided that p> 2g qi. Unfortunately, attempts to extend this method to all p seem to get stuck on difficult questions of wild ramification. Nowadays, the Teichmtiller theory gives a thoroughly analytic but very profound insight into this irreducibility when kC. Our
HARMONIC MAPS AND CURVATURE COMPUTATIONS IN TEICHMUT,T,PN THEORY
"... The purpose of this paper is to display harmonic maps as a computational tool in Teichmtiller theory. Let E be a compact surface without boundary of genus p) 2, and let g and 7 be (marked) conformal structures on E. Thus (E,g) and (8, f) define elements of Teichmiiller space To. Each such element ca ..."
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The purpose of this paper is to display harmonic maps as a computational tool in Teichmtiller theory. Let E be a compact surface without boundary of genus p) 2, and let g and 7 be (marked) conformal structures on E. Thus (E,g) and (8, f) define elements of Teichmiiller space To. Each such element
Construction of Super Schwarzian Connection in Conformal Field Theories on HigherGenus Super Riemann Surfaces
, 1991
"... In the global operator formalism of the superstring on higher·genus super Riemann surfaces we calculate the super Schwarzian connection in order to derive the super KN algebra. A new super differential is also proposed. ..."
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In the global operator formalism of the superstring on higher·genus super Riemann surfaces we calculate the super Schwarzian connection in order to derive the super KN algebra. A new super differential is also proposed.
Coalification pattern of the Illinois basin
 ECON. GEOL
, 1971
"... Illinois coals range from high volatile C to high volatile A bituminous rank. The rank increases gradually from the northwestern to the southeastern part of the Illinois Basin. In the northern and central parts of the Illinois Basin, the isorank lines (lines of equal seam moisture and of equal calo ..."
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Illinois coals range from high volatile C to high volatile A bituminous rank. The rank increases gradually from the northwestern to the southeastern part of the Illinois Basin. In the northern and central parts of the Illinois Basin, the isorank lines (lines of equal seam moisture and of equal calorific value calculated on the moist, mineralmatterfree basis) for the Herrin (No. 6) coal member of the Carbondale Formation (Pennsylvanian) exhibit an increase in rank with depth and parallel the structural contour lines fairly closely. In southern Illinois, however, the rank continues to increase southeastward although the coals become shallower and finally crop out on the southern edge of the Illinois Basin. The continued southward increase in rank was probably caused either by southwardly increasing depth of burial of the coals during coalification and the tectonic closure of the basin after the coalification process had essentially terminated or by increased heat flow above a possible plutonic intrusion in that part of Illinois. The increase in rank with depth (expressed in percentage of moisture content or in calorific value) is in the same range as that reported in other coal basins in which the coal is of comparable rank.
VCEAK SCH'WARZIANS, BOUNDED HYPERBOLIC D ISTORTION, AND SMOOTH QUASISYMMETRIC FUNCTIONS
"... In this paper we show how some techniques based on a Sturm comparison theorem for the differential equation associated with the Schwarzian derivative can be used to study two problems. First, to estimate the quasisymmetry quotient of a function in terms of bounds on its Schwarzian. Here, the bounds ..."
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on the Schwarzian are much like those one finds in the theory of univalent functions, and the result is a sufficient condition for a function to be quasisymmetric. This is discussed in Section 3. Second, to study how much mappings of an interval distort distances in the hyperbolic metric. These results are Schwarz
Construction and validation of extensional cross sections using lost area and strain, with application to the Rhine Graben
"... Abstract: The simultaneous area balance of multiple horizons in a graben system formed above a detachment is the basis for the lostarea section c struction and validation technique. Area balance requires that the area displaced below the original regional level of each bed in a graben (the lost are ..."
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Abstract: The simultaneous area balance of multiple horizons in a graben system formed above a detachment is the basis for the lostarea section c struction and validation technique. Area balance requires that the area displaced below the original regional level of each bed in a graben (the lost area) be balanced by the displaced area at the boundary of the system, given by the product of the displacement times the depth to detachment. For multiple horizons, this relationship is a straight line on a plot of lost area versus depth. The slope of the line is the displacement and the depth intercept is the depth of the detachment. In general, beds within the graben system undergo both visible and homogeneous layerparallel xtension. The homogeneous component can be calculated from the width of the graben system, the lost area, and the depth to detachment. Conversely, the detachment depth may be calculated from the total layerparallel xtension and the lost area. The technique is illustrated by application to the Rhine graben. The Rhine graben is inferred to have formed with its detachment a the base of a normal thickness (31 km) of crust and to have been uplifted. Crustal necking with a detachment at 15 km depth is a viable alternative but requires three times the layerparallel xtension of 6.3 % measured atthe top of the Permian and older basement. The large difference between the layerparallel xtension (6.3%)
Oil Potential of Coals: A Geochemical Approach
"... SUMMARY: RockEval and pyrolysis GC data show that coals from various origins generate on thermal cracking up to 30070 weight in form of hydrocarbons. Most of them consist of oiltype components (C6 + hydrocarbons) upto about 1.5070 vitrinite rellectance maturity. Therefore fair quantities of oil sh ..."
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SUMMARY: RockEval and pyrolysis GC data show that coals from various origins generate on thermal cracking up to 30070 weight in form of hydrocarbons. Most of them consist of oiltype components (C6 + hydrocarbons) upto about 1.5070 vitrinite rellectance maturity. Therefore fair quantities of oil should be generated during maturation of such samples. Paradoxically, coalrich sediments contain only minute amounts of oil, whatever their maturity rank. This is interpreted by an easy expulsion of hydrocarbons from coals during burial. Moreover, trapping of oil in the 'microporosity ' of coals, or due to their 'plastic ' behaviour isunlikely. Therefore coals should have a fair potential for oil generation and expulsion and the observed poor association between coal measures and oil pools i due to geological reasons rather than to geochemical ones. Distributions and yields of the generated hydrocarbons may be quite different from one sample to another. For instance, North Sea coals do not resemble coals from Tertiary deltas. For many geologists and geochemists, coals can
CONJUGATE HOLOMORPHIC EIGENFUNCTIONS AND EXTREMAL QUASICONFORMAL REFLECTION
"... Let f be a Jordan curve in the extended plane i and let D and D * beits complementary domains. We say that f is a Kquasicircle if it is the image curve of a circle under a Kquasiconformal (abbreviated: Kqc) mapping of i onto itself. A sensereversing Kqc mapping iD of D onto D * whose extension ..."
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Let f be a Jordan curve in the extended plane i and let D and D * beits complementary domains. We say that f is a Kquasicircle if it is the image curve of a circle under a Kquasiconformal (abbreviated: Kqc) mapping of i onto itself. A sensereversing Kqc mapping iD of D onto D * whose extension on the clo
Results 1  10
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