On the second gaussian map for curves on a K3 surface

By a theorem of Wahl, for canonically embedded curves which are hyperplane sections of K3 surfaces, the first gaussian map is not surjective. In this paper we prove that if C is a general hyperplane section of high genus (greater than 280) of a general polarized K3 surface, then the second gaussian map of C is surjective. The resulting bound for the genus g of a general curve with surjective second gaussian map is decreased to g >152.Comment: final version, to appear in Nagoya Mathematical Journa

Prym map and second gaussian map for Prym-canonical line bundles

We show that the second fundamental form of the Prym map lifts the second gaussian map of the Prym-canonical bundle. We prove, by degeneration to binary curves, that this gaussian map is surjective for the general point [C,A] of R_g for g > 19.Comment: Final version. To appear in Advances in Mathematic

When Stackelberg and Cournot Equilibria Coincide

We compare two-stage Stackleberg with Cournot equilibrium under the assumption of quantity competition and homogeneous goods.  We show that, when the curvature of the inverse market demand equals the total number of firms in the industry, the outcome of the two games coincides.

PVT1: a rising star among oncogenic long non-coding RNAs

It is becoming increasingly clear that short and long noncoding RNAs critically participate in the regulation of cell growth, differentiation, and (mis)function. However, while the functional characterization of short non-coding RNAs has been reaching maturity, there is still a paucity of well characterized long noncoding RNAs, even though large studies in recent years are rapidly increasing the number of annotated ones. The long noncoding RNA PVT1 is encoded by a gene that has been long known since it resides in the well-known cancer risk region 8q24. However, a couple of accidental concurrent conditions have slowed down the study of this gene, that is, a preconception on the primacy of the protein-coding over noncoding RNAs and the prevalent interest in its neighbor MYC oncogene. Recent studies have brought PVT1 under the spotlight suggesting interesting models of functioning, such as competing endogenous RNA activity and regulation of protein stability of important oncogenes, primarily of the MYC oncogene. Despite some advancements in modelling the PVT1 role in cancer, there are many questions that remain unanswered concerning the precise molecular mechanisms underlying its functioning

On totally geodesic submanifolds in the Jacobian locus

We study submanifolds of A_g that are totally geodesic for the locally symmetric metric and which are contained in the closure of the Jacobian locus but not in its boundary. In the first section we recall a formula for the second fundamental form of the period map due to Pirola, Tortora and the first author. We show that this result can be stated quite neatly using a line bundle over the product of the curve with itself. We give an upper bound for the dimension of a germ of a totally geodesic submanifold passing through [C] in M_g in terms of the gonality of C. This yields an upper bound for the dimension of a germ of a totally geodesic submanifold contained in the Jacobian locus, which only depends on the genus. We also study the submanifolds of A_g obtained from cyclic covers of the projective line. These have been studied by various authors. Moonen determined which of them are Shimura varieties using deep results in positive characteristic. Using our methods we show that many of the submanifolds which are not Shimura varieties are not even totally geodesic.Comment: To appear on International Journal of Mathematic

Optimal Corporation Tax: An I.O. Approach

Theory predicts that optimal effective corporation tax rates will benegatively related to industry specific sunk costs, and hence industryconcentration. Governments should tax industries with monopolistic powersoftly. Evidence suggests that this Schumpeterian (1942) principle ofcorporate taxation was used widely across industries in France, Italy and theUK in the 1990s.Effective Corporation Tax Rate, Industry Sunk Costs,Industry Concentration.

Optimal Corporation Tax: An I.O. Approach

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Interaction of mycobacterium tuberculosis with the host cells: a focus in the molecular mechanism involved in trafficking and autophagy

Tuberculosis (TB) is an ancient disease remaining a serious health threat worldwide. It is caused by Mycobacterium tuberculosis (Mtb), an acid-fast bacilli, non-sporulated, slow-growing, immobile and aerobic. The pathogenesis of the disease is based on its ability to multiply and survive within phagocytic cells of the host, particularly macrophages and monocytes. The majority (90 %) of infected humans have a ?latent infection?, meaning they efficiently contain but do not spread the bacteria; they are infected but asymptomatic and not contagious. However the remaining 10 % have a lifetime risk of reactivating the infection and developing active tuberculosis (Sakamoto, 2012). The great destructive impact on public health, the co-infection with the human immunodeficiency virus (HIV) and the appearance of drug resistant strains of Mtb are demanding the development of new tools for prevention and treatment.During the last decade a greater understanding on the human immune response to Mtb infection as well as the contribution of factors linked to the pathogenesis of the disease has been achieved. Although the knowledge about the human immune response against Mtb as well as the contribution of factors linked to the pathogenesis of the disease have markedly increased in the last year, a deeper understanding of its immunopathogenesis will lead to the identification of new drugs and the development of effective vaccines.Fil: Zarelli, Valeria Eugenia Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos. Universidad Nacional de Cuyo. Facultad de Ciencias Médicas. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos; ArgentinaFil: Giai, Constanza. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos. Universidad Nacional de Cuyo. Facultad de Ciencias Médicas. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos; ArgentinaFil: Colombo, Maria Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos. Universidad Nacional de Cuyo. Facultad de Ciencias Médicas. Instituto de Histología y Embriología de Mendoza Dr. Mario H. Burgos; Argentin

On the Koszul cohomology of canonical and Prym-canonical binary curves

In this paper we study Koszul cohomology and the Green and Prym-Green conjectures for canonical and Prym-canonical binary curves. We prove that if property $N_p$ holds for a canonical or a Prym-canonical binary curve of genus $g$ then it holds for a generic canonical or Prym-canonical binary curve of genus $g+1$. We also verify the Green and Prym-Green conjectures for generic canonical and Prym-canonical binary curves of low genus ($6\leq g\leq 15$, $g\neq 8$ for Prym-canonical and $3\leq g\leq 12$ for canonical).Comment: Final version. To appear in the Bulletin of the London Mathematical Societ