In this article we show that the quotient M∞/B(Qp) of the Lubin–Tate space at infinite level M∞ by the Borel subgroup of upper triangular matrices B(Qp) ⊂ GL2(Qp) exists as a perfectoid space. As an application we show that Scholze’s functor H i ét(PCp ,Fπ ) is concentrated in degree one whenever π is an irreducible principal series representation or a twist of the Steinberg representation of G...

We present an algorithm that returns a proper factor of a polynomial Φ(x) over the p-adic integers Zp (if Φ(x) is reducible over Qp) or returns a power basis of the ring of integers of Qp[x]/Φ(x)Qp[x] (if Φ(x) is irreducible over Qp). Our algorithm is based on the Round Four maximal order algorithm. Experimental results show that the new algorithm is considerably faster than the Round Four algo...

Several bacterial cultures were isolated that are able to degrade quinoline and to transform or to degrade methylquinolines. The degradation of quinoline by strains of Pseudomonas aeruginosa QP and P. putida QP produced hydroxyquinolines, a transient pink compound, and other undetermined products. The quinoline-degrading strains of P. aeruginosa QP and P. putida QP hydroxylated a limited number...

[1] We analyze high dynamic range waveform spectra to determine t* values for both P and S waves from earthquakes in southern California. We invert the t* values for threedimensional (3-D) frequency-independent QP and QS regional models of the crust. The models have 15 km horizontal grid spacing and an average vertical grid spacing of 4 km, down to 22 km depth, and extend from the U.S.-Mexico b...

Let p be a prime, Zp the ring of p-adic integers, Qp the field of p-adic numbers, and Qp the algebraic closure of Qp. Let Fp be the algebraic closure of the finite field Fp, and ω : Fp → Qp the Techmüller lifting. Let q = pa, χ a multiplicative character of Fq into Q, and ψ a character of Zp[μq−1] into Q of exact order pn > 1, where μr is the set of r-th roots of unity in Qp. For simplicity, we...

We present an efficient rate control strategy for H.264 in order to maximize the video quality by appropriately determining the quantization parameter (QP) for each macroblock. To break the chicken-and-egg dilemma resulting from QP-dependent ratedistortion optimization (RDO) in H.264, a preanalysis phase is conducted to gain the necessary source information, and then the coarse QP is decided fo...

I present a frequency-independent three-dimensional (3-D) compressional wave attenuation model (indicated by quality factor Qp) for the crust and uppermost mantle of Northern and central California. The tomographic inversion used t∗ values measured from amplitude spectra of 80,988 P wave arrivals of 3247 events recorded by 463 network stations through a 3-D seismic velocity model. The model has...

from Quillen’s K-groups to the étale cohomology groups with coefficients in the Tate twist Zp(j) ([8], [25]). When K is a local field, it is a long-standing problem whether the maps Ki(X) ⊗ Qp → H ét (X,Qp(j)) for 2j > i are surjective, in relation to the Beilinson conjectures (cf. [11] §3). The main result of this paper is to give an affirmative answer to this problem for K2 of the Tate curves...

We present the first coordinated observations of quasi-periodic (QP) radar echoes from sporadic-E (Es) field-aligned irregularities (FAIs), OI 557.7-nm airglow, and neutral winds in a common volume over Shigaraki, Japan (34.9 N, 136.1 E) on the night of 5 August 2002 during the SEEK-2 campaign. QP echo altitudes of 90–110 km were lower than usual by 10 km, enabling us to make a detailed compari...