A Remark on the Modularity of Abelian Varieties of GL2-type over Q

AbstractLet A be an abelian variety of GL2-type over the rational number field Q, without complex multiplication. In this paper, we will show that a modularity of A over the complex number field C implies that of A over Q

The Historical Development of Early Korean Immigration To Hawaii And Its Legal Structure

The Joseon dynasty opened its doors to the United States of America in 1882 and gradually to other western countries giving up its isolation policy. One of the dramatic results of this policy change was that Emperor Gojong granted permission to allow Korean emigration to Hawaii in 1902. The first group of 102 Korean immigrants, including 21 wives and 26 children under the age of 18, arrived at Honolulu Harbor on January 13, 1903. Approximately 7,400 Korean laborers immigrated to Hawaii in the next two and one half years until immigration ended in August 1905. The purpose of this paper is to review the legal structures that supported Korean immigration to Hawaii from 1903 to 1910, when the Daehan Empire lost its sovereign power. This article first reviews the socio-economic and legal conditions leading to importation of Chinese and Japanese laborers to the Kingdom of Hawaii prior to the arrival of Koreans. Then, Korea's diplomatic and legal arrangements for the immigration of Korean laborers are examined. American legal policies and structuresfor Korean immigrants are also reviewed

The arithmetic of genus two curves with (4,4)-split Jacobians

In this paper we study genus 2 curves whose Jacobians admit a polarized (4,4)-isogeny to a product of elliptic curves. We consider base fields of characteristic different from 2 and 3, which we do not assume to be algebraically closed. We obtain a full classification of all principally polarized abelian surfaces that can arise from gluing two elliptic curves along their 4-torsion and we derive the relation their absolute invariants satisfy. As an intermediate step, we give a general description of Richelot isogenies between Jacobians of genus 2 curves, where previously only Richelot isogenies with kernels that are pointwise defined over the base field were considered. Our main tool is a Galois theoretic characterization of genus 2 curves admitting multiple Richelot isogenies.Comment: 30 page

Gemcitabine and S-1 Combination Chemotherapy in Patients with Advanced Biliary Tract Cancer: A Retrospective Study

Background:The aim of this study was to investigate the efficacy and safety of gemcitabine and S-1 combination chemotherapy in patients with advanced biliary tract cancer. Patients and Methods: A retrospective study was performed on 15 consecutive patients. Gemcitabine was administered intravenously at 1,000 mg/m2 on days 8 and 15. Oral S-1 (60 mg/m2 in 2 divided doses) was given daily for the first 2 weeks, followed by 1 week of rest. This 3-week course of treatment was repeated. The primary endpoint was response rate, and the secondary endpoints were overall survival, progression-free survival, and safety. Results: The overall response rate was 26.7%, and the disease control rate was 73.4%. The overall survival was 12.0 months (95% CI, 9.5–14.5 months), and the progression-free survival was 8.0 months (95% CI, 4.3–11.7 months). Adverse events of grade 3 or 4 occurred in 33.3%, and the major grade 3/4 toxicities were anemia (20.0%), leukopenia (13.3%), and anorexia (13.3%). Conclusion:Gemcitabine and S-1 combination chemotherapy is effective and safe in patients with advanced biliary tract cancer

Isolated gestational proteinuria preceding the diagnosis of preeclampsia : an observational study

Introduction. Some pregnant women develop significant proteinuria in the absence of hypertension. However, clinical significance of isolated gestational proteinuria (IGP) is not well understood. This study aimed to determine the prevalence of IGP in singleton pregnancies and the proportion of women with IGP who subsequently developed preeclampsia (IGP-PE) among all PE cases. Material and methods. This was an observational study of 6819 women with singleton pregnancies at 12 centers, including 938 women with at least once determination of protein-to-creatinine ratio (P/Cr). Significant proteinuria in pregnancy (SPIP) was defined as P/Cr (mg/mg) level >0.27. IGP was defined as SPIP in the absence of hypertension. Gestational hypertension (GH) preceding preeclampsia (GH-PE) was defined as preeclampsia (PE) in which GH preceded SPIP. Simultaneous PE (S-PE) was defined as PE in which both SPIP and hypertension occurred simultaneously. Results. IGP and PE were diagnosed in 130 (1.9%) and 158 (2.3%) of 6819 women, respectively. Of 130 women with IGP, 32 (25%) progressed to PE and accounted for 20% of all women with PE. Hence, women with IGP had a relative risk of 13.1 (95% CI; 9.2-18.5) for developing PE compared with those without IGP [25% (32/130) vs. 1.9% (126/6689)]. At diagnosis of SPIP, P/Cr levels already exceeded 1.0 more often in women with S-PE than in those with IGP-PE [67% (33/49) vs. 44% (14/32), respectively, p = 0.031]. Conclusions. IGP is a risk factor for PE, and IGP-PE accounts for a considerable proportion (20%) of all PE

Thermodynamic properties and structural stability of thorium dioxide

Using density functional theory (DFT) calculations, we have systematically investigated the thermodynamic properties and structural stabilities of thorium dioxide (ThO$_2$). Based on the calculated phonon dispersion curves, we calculate the thermal expansion coefficient, bulk modulus, and heat capacities at different temperatures for ThO$_2$ under the quasi-harmonic approximation. All the results are in good agreement with corresponding experiments proving the validity of our methods. Our theoretical studies can help people more clearly understand the thermodynamic behaviors of ThO$_2$ at different temperatures. In addition, we have also studied possible defect formations and diffusion behaviors of helium in ThO$_2$, to discuss its structural stability. It is found that in intrinsic ThO$_2$ without any Fermi energy shifts, the interstitial Th$_i^{4+}$ defect other than oxygen or thorium vacancies, interstitial oxygen, and any kinds of Frenkel pairs, is most probable to form with an energy release of 1.74 eV. However, after upshifting the Fermi energy, the formation of the other defects also becomes possible. For helium diffusion, we find that only through the thorium vacancy can it happen with the small energy barrier of 0.52 eV. Otherwise, helium atoms can hardly incorporate or diffuse in ThO$_2$. Our results indicate that people should prevent upshifts of the Fermi energy of ThO$_2$ to avoid the formation of thorium vacancies and so as to prevent helium caused damages.Comment: 11 pages, 11 figure