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Free quotients and the first betti number of some hyperbolic manifolds
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In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
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The first one is a conjecture of Ian Hughes which states that iff1, ..., fn are primary invariants of a finite linear groupG, then the least common multiple of the degrees of thefi is a multiple of the exponent ofG.
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First appeared in passing in the basic paper of O.
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To prove this, we first state and prove a general result which gives a criterion for checking whether a variety of dimensionN≥3 is a (compactification of a) ball quotient.
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Free quotients and the first betti number of some hyperbolic manifolds
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The first one is a conjecture of Ian Hughes which states that iff1, ..., fn are primary invariants of a finite linear groupG, then the least common multiple of the degrees of thefi is a multiple of the exponent ofG.
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The first part of this paper describes the construction of pseudo-Riemannian homogeneous spaces with special curvature properties such as Einstein spaces, using corresponding known compact Riemannian ones.
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We derive two consequences: the first is a new proof of Lusztig's description of the intersection cohomology of nilpotent orbit closures for GLn, and the second is an analogous description for GL2n/Sp2n.
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In the first paper we determined the graded algebra A(Γ2[3]) of Siegel modular
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In the first paper we determined the graded algebra A(Γ2[3]) of Siegel modular
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In the first part the initial value problem (IVP) of the semilinear heat equation with initial data in is studied.
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In the first part of this paper, a special case where the processing times and compression costs are uniform among jobs is discussed.
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The reversible capacity of amorphous ZnSnO3 is 844 mA · h/g in the first cycle and the charge capacity is 695 mA · h/g in the tenth cycle.
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The reversible capacity of ZnO · SnO2 is 845 mA · h/g in the first cycle and the charge capacity is 508 mA · h/g in the tenth cycle.
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The Behavior of the First Variation Under the Fourier-Feynman Transform on Abstract Wiener Spaces
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The paper gives two estimates of the distance between adjacent zeros of solutions of the first-order delay differential equations x'(t)+p(t)x(t-τ)=0 in the case when p(t)≥0 and oscillates or p(t) itself oscillates.
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In this paper, some new properties of solutions of the first order nonlinear differential inequalities with deviating arguments are given.
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The synthesis of the first two arylenealkyne conjugated macrocycles containing a long alkylene bridge via Glaser coupling of template-directed tetraacetylenes was reported.
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The eigenvalue of the first canonical variable is 0.997 9 (significant at 0.01 level), accounting for 78% of all eigenvalues.
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