On a family of quotients of Fermat curves

Let Fx be the N-th Fermat curve defined by the equation: ux+vn=1. For a pair (r, s) of positive integers such that r+s≦N-1 and g.c.d (r, s, N)=1, we denote by F(r, s) the quotient of Fx defined by the equation: ..

Linear ubiquitination‐induced necrotic tumor remodeling elicits immune evasion

Tumor-elicited inflammation confers tumorigenic properties, including cell death resistance, proliferation, or immune evasion. To focus on inflammatory signaling in tumors, we investigated linear ubiquitination, which enhances the nuclear factor-κB signaling pathway and prevents extrinsic programmed cell death under inflammatory environments. Here, we showed that linear ubiquitination was augmented especially in tumor cells around a necrotic core. Linear ubiquitination allowed melanomas to tolerate the hostile tumor microenvironment and to extend a necrosis-containing morphology. Loss of linear ubiquitination resulted in few necrotic lesions and growth regression, further leading to repression of innate anti-PD-1 therapy resistance signatures in melanoma as well as activation of interferon responses and antigen presentation that promote immune-mediated tumor eradication. Collectively, linear ubiquitination promotes tumor-specific tissue remodeling and the ensuing immune evasion

Sigmoid colon obstruction due to blunt abdominal trauma: a case report.

Post-traumatic colonic stenosis (obstruction) is rare. We experienced a case of sigmoid obstruction due to blunt abdominal trauma. A 75-year-old man was hit on the lower abdomen 3 days before admission and gradually developed abdominal pain and distension. Laboratory data showed severe inflammation and a barium enema disclosed obstruction of the sigmoid colon. Conservative treatment was carefully carried out, because there was no sign of peritoneal irritation and there were passages of normal stool and flatus. The sigmoid obstruction gradually improved and the stenosis was almost undetectable on a barium enema on the 51st hospital day. An abdominal contusion is the most likely causal factor in this case. Compression of the sigmoid colon between the abdominal wall and the promontory of the pelvis is the most possible explanation.&#60;/P&#62;</p

Infrared Imaging of z=2.43 Radio Galaxy B3 0731+438 with the Subaru Telescope - Detection of Hα\alpha Ionization Cones of a Powerful Radio Galaxy

We report on infrared imaging observations of the z=2.429 radio galaxy B3 0731+438 with the Subaru telescope. The images were taken with the K'-band filter and the 2.25 um narrow-band filter to examine the structure and properties of the Ha+[N II] 6548,6583 emission-line components. The Ha+[N II] emission-line image shows biconical lobes with an extent of 40 kpc, which are aligned with the radio axis. The rest-frame equivalent widths of the emission lines at these cones are as large as 1100 AA, and can be well explained by a gas-cloud model photoionized by power-law continuum radiation. The isotropic ionizing photon luminosity necessary to ionize the hydrogen gas in these cones amounts to 1e57(photons/s), which is larger than that in the majority of radio-loud QSOs. From these results, we propose that the Ha alignment effect in this object is produced by biconical gas clouds, which are swept up by the passage of radio jets, and are ionized by strong UV radiation from a hidden AGN. The continuum image consists of two components, a stellar-like point source and an extended diffuse galaxy. These are supposed to be a type-2 AGN and its host galaxy. The SED is fitted by a combination of spectra of a reddened dust-scattered AGN and an instantaneous starburst population of 500 Myr old. The stellar mass of the galaxy is estimated to be 3e11 M_solar, which is as large as that of typical 3C radio galaxies at z=1.Comment: 12 pages, 4 Postscript figures, uses PASJ2.sty, PASJ95.sty, PASJadd.sty. Accepted for publication in PASJ (2000