Brief information on the doctoral thesis Governing function of the Socialist Republic of Viet Nam

The study systematically reviewed research related to the research topic, illustrated problems that have been studied and identified new, arising issues of the economic management function of the state in Vietnam that need to be researched and addressed now and in the future

Invariants of plane curve singularities and Pl\"ucker formulas in positive characteristic

We study classical invariants for plane curve singularities $f\in K[[x,y]]$, $K$ an algebraically closed field of characteristic $p\geq 0$: Milnor number, delta invariant, kappa invariant and multiplicity. It is known, in characteristic zero, that $\mu(f)=2\delta(f)-r(f)+1$ and that $\kappa(f)=2\delta(f)-r(f)+\mathrm{mt}(f)$. For arbitrary characteristic, Deligne prove that there is always the inequality $\mu(f)\geq 2\delta(f)-r(f)+1$ by showing that $\mu(f)-\left( 2\delta(f)-r(f)+1\right)$ measures the wild vanishing cycles. By introducing new invariants $\gamma,\tilde{\gamma}$, we prove in this note that $\kappa(f)\geq \gamma(f)+\mathrm{mt}(f)-1\geq 2\delta(f)-r(f)+\mathrm{mt}(f)$ with equalities if and only if the characteristic $p$ does not divide the multiplicity of any branch of $f$. As an application we show that if $p$ is "big" for $f$ (in fact $p > \kappa(f)$), then $f$ has no wild vanishing cycle. Moreover we obtain some Pl\"ucker formulas for projective plane curves in positive characteristic.Comment: 15 pages; final version; to appear in the Annales de l'Institut Fourie

Vietnam’s Low-Cost COVID-19 Strategy

Tightened border controls, agile health departments, tech platforms, and a hand-washing song that went viral have added up to a frugal but highly effective response to the threat of COVID-19. The country's success provides a model that other developing and emerging economies should follow

Beauty Culture in Post-Reform Vietnam: Glocalization or Homogenization?

This essay re-examines the global beauty culture and ideals as established by the West and continually re-imagined worldwide through three primary lenses of race, gender, and political economy. Based on this understanding, it then delves into how the beauty culture in Vietnam has been shaped and transformed since the country conducted economic reforms in 1986 and has become more integrated into the global economy today

Right unimodal and bimodal singularities in positive characteristic

The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal w.r.t. right equivalence. The classification of right simple singularities in positive characteristic was achieved by Greuel and the author in 2014. In the present paper we classify right unimodal and bimodal singularities in positive characteristic by giving explicit normal forms. Moreover we completely determine all possible adjacencies of simple, unimodal and bimodal singularities. As an application we prove that, for singularities of right modality at most 2, the $\mu$-constant stratum is smooth and its dimension is equal to the right modality. In contrast to the complex analytic case, there are, for any positive characteristic, only finitely many 1-dimensional (resp. 2-dimensional) families of right class of unimodal (resp. bimodal) singularities. We show that for fixed characteristic $p>0$ of the ground field, the Milnor number of $f$ satisfies $\mu(f)\leq 4p$, if the right modality of $f$ is at most 2.Comment: 19 page

Economic management function of the state of the socialist Republic of Vietnam

Mankind history has recorded the birth, development, survival struggle, and decline of various forms of states. Along with that process, the role and function of the State in socio-economic development have been strongly highlighted, represented not only social classes but also the characteristics of institutions, structures, and organizations of society in each period, and in accordance with the development of human cognition. The state in a socialist-oriented market economy has similar connotations and differences in comparison with states in general. However, due to the lack of clear definitions to distinguish the two concepts of "economic function" and "economic management function," the design, implementation, monitoring, and evaluation of the effectiveness of state management policies are ineffective, as right now there exist many fuzzy and overlapping gaps in theory. Not only that, the gap between the designed policy and the actualization of policy decisions is quite far from reality. Therefore, from the time the policies are established and issued until those policies take effects, there are many issues worth discussing