Abstract:
objective: to perform the analysis of specific regions of the major genes associated with resistance to isoniazid or rifampin. materials and methods: twenty two m. tuberculosis strains, isolated from human samples obtained in sonora, mexico. specific primers for hotspots of the rpob, katg, inha genes and the ahpc-oxyr intergenic region were used. the purified pcr products were sequenced. results: mutations in the promoter of inha, the ahpc-oxyr region, and codon 315 of katg and in 451 or 456 codons of rpob, were identified. conclusions: detection of mutations not previously reported requires further genotypic analysis of mycobacterium tuberculosis isolates in sonora.

Abstract:
objective: determine the frequency of combinations of higher-than-normal metabolic control parameters, using geometric coding and hierarchical cluster analysis, in patients with type 2 diabetes (dm2) methodology: a descriptive cross-sectional study was conducted in mexico to assess a group of 1 051 patients with dm2. the inclusion criteria were to have one or more of the following values: fasting glucose of 130 mg/dl, total cholesterol of 240 mg/dl, total triglycerides of 200 mg/dl, body mass index of 27 kg/m2, and systolic blood pressure higher than 130 mmhg or diastolic blood pressure higher than 85 mmhg. through geometric coding, the frequencies of all combinations were obtained. cluster analysis was used to determine similarities among the combinations. results: using the proposed instrument, it was observed that the paired combinations with the highest number of subjects were hyperglycemia-hypertriglyceridemia (7.3%) and hyperglycemia-hypercholesterolemia (3.6%). the most frequent polycombinations were hyperglycemia-hypercholesterolemia-hypertriglyceridemia (13.2%) and hyperglycemia-hypertriglyceridemia-hypercholesterolemia-hypertension (10.5%). conclusions: geometric coding and cluster analysis could become a suitable instrument for assessing the metabolic control of patients with dm2, as well as for identifying parameters that will help improve their monitoring and treatment.

Abstract:
Let $X$ be a smooth projective surface such that linear and numerical equivalence of divisors on $X$ coincide and let $\sigma\subseteq |D|$ be a linear pencil on $X$ with integral general fibers. A fiber of $\sigma$ will be called special if either it is not integral or it has non-generic multiplicity at some of the base points (including the infinitely near ones) of the pencil. In this note we provide an algorithm to compute the integral components of the special fibers of $\sigma$.

Abstract:
We use a family of algebraic foliations given by A. Lins Neto to provide new evidences to a conjecture, related to the Harbourne-Hirschowitz's one and implying the Nagata's conjecture, which concerns the structure of the Mori cone of blow-ups of $\mathbb{P}^2$ at very general points.

Abstract:
We solve the Poincar\'e problem for plane foliations with only one dicritical divisor. Moreover, in this case, we give an algorithm that decides whether a foliation has a rational first integral and computes it in the affirmative case. We also provide an algorithm to compute a rational first integral of prefixed genus $g\neq 1$ of any type of plane foliation $\cf$. When the number of dicritical divisors dic$(\cf)$ is larger than two, this algorithm depends on suitable families of invariant curves. When dic$(\cf) = 2$, it proves that the degree of the rational first integral can be bounded only in terms of $g$, the degree of $\cf$ and the local analytic type of the dicritical singularities of $\cf$.

Abstract:
For a simple complete ideal $\wp$ of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincar\'e series $P_{\wp}$, that gathers in an unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to $\wp$. This paper is devoted to prove that $P_{\wp}$ is a rational function giving an explicit expression for it.

Abstract:
We consider surfaces $X$ defined by plane divisorial valuations $\nu$ of the quotient field of the local ring $R$ at a closed point $p$ of the projective plane $\mathbb{P}^2$ over an arbitrary algebraically closed field $k$ and centered at $R$. We prove that the regularity of the cone of curves of $X$ is equivalent to the fact that $\nu$ is non positive on ${\mathcal O}_{\mathbb{P}^2}(\mathbb{P}^2\setminus L)$, where $L$ is a certain line containing $p$. Under these conditions, we characterize when the characteristic cone of $X$ is closed and its Cox ring finitely generated. Equivalent conditions to the fact that $\nu$ is negative on ${\mathcal O}_{\mathbb{P}^2}(\mathbb{P}^2\setminus L) \setminus k$ are also given.

Abstract:
We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bezout's theorem, and Bertini's theorem.