On the geometry of Abel maps for nodal curves

In this paper we give local conditions to the existence of Abel maps for nodal curves that are limits of Abel maps for smooth curves. We use this result to construct Abel maps for any degree for nodal curves with two components.Comment: 30 pages, 1 figur

Protein Complexes in Bacteria

Large-scale analyses of protein complexes have recently become available for Escherichia coli and Mycoplasma pneumoniae, yielding 443 and 116 heteromultimeric soluble protein complexes, respectively. We have coupled the results of these mass spectrometrycharacterized protein complexes with the 285 “gold standard” protein complexes identified by EcoCyc. A comparison with databases of gene orthology, conservation, and essentiality identified proteins conserved or lost in complexes of other species. For instance, of 285 “gold standard” protein complexes in E. coli, less than 10% are fully conserved among a set of 7 distantly-related bacterial “model” species. Complex conservation follows one of three models: well-conserved complexes, complexes with a conserved core, and complexes with partial conservation but no conserved core. Expanding the comparison to 894 distinct bacterial genomes illustrates fractional conservation and the limits of co-conservation among components of protein complexes: just 14 out of 285 model protein complexes are perfectly conserved across 95% of the genomes used, yet we predict more than 180 may be partially conserved across at least half of the genomes. No clear relationship between gene essentiality and protein complex conservation is observed, as even poorly conserved complexes contain a significant number of essential proteins. Finally, we identify 183 complexes containing well-conserved components and uncharacterized proteins which will be interesting targets for future experimental studies

Enriched curves and their tropical counterpart

In her Ph.D. thesis, Main\`o introduced the notion of enriched structure on stable curves and constructed their moduli space. In this paper we give a tropical notion of enriched structure on tropical curves and construct a moduli space parametrizing these objects. Moreover, we use this construction to give a toric description of the scheme parametrizing enriched structures on a fixed stable curve.Comment: 41 pages, 13 figures; final version, to appear in Ann. Inst. Fourie

Model to Estimate the Project Outcome's Likelihood Based on Social Networks Analysis

One of the Key Challenges in the area of Project Management, is definitely, how to set up the best Project Team, regarding several key areas, such as; team experience, flexibility, engagement, know-how, and intra and cross-collaboration, so that Project Success Outcome can be achieved. Such best Project Team is definitely very difficult, if not extremely hard to define, especially when it comes to intra and cross-collaboration matters, where in projects environment, implies an extreme dynamic interaction between project people, throughout all the phases of a project lifecycle. Forecasting, to the possible extent, how that people dynamic’s interaction is a critical factor that can contribute to dictate how a project outcome will look like, is becoming a major concern for Risk Management, in Project Management. In this line of thought, the present work aims to further contribute to this particular area of Risk Management,  in Project Management, by exploring a new analysis approach, where it points out  its focus towards project People, and how the dynamic interaction of project people, that delivers a project, across its lifecycle, influences or not, a certain project outcome type (failure or success). To provide answer to this question, a heuristic model based on three scientific field pillars (Project Management, Risk Management, and Social Network Analysis Theory), is proposed in this work, which aims to identify a set of critical factors, regarding hoe people dynamically interact across the different phases of a project lifecycle, that are to be associated with project success, and project failure outcome. Keywords: Project management, Risk management, Social networks analysi

Managing open innovation project risks based on a social network analysis perspective

In today’s business environment, it is often argued, that if organizations want to achieve a sustainable competitive advantage, they must be able to innovate, so that they can meet complex market demands as they deliver products, solutions, or services. However, organizations alone do not always have the necessary resources (brilliant minds, technologies, know-how, and so on) to match those market demands. To overcome this constraint, organizations usually engage in collaborative network models—such as the open innovation model—with other business partners, public institutions, universities, and development centers. Nonetheless, it is frequently argued that the lack of models that support such collaborative models is still perceived as a major constraint for organizations to more frequently engage in it. In this work, a heuristic model is proposed, to provide support in managing open innovation projects, by, first, identifying project collaborative critical success factors (CSFs) analyzing four interactive collaborative dimensions (4-ICD) that usually occur in such projects—(1) key project organization communication and insight degree, (2) organizational control degree, (3) project information dependency degree, (3) and (4) feedback readiness degree— and, second, using those identified CSFs to estimate the outcome likelihood (success, or failure) of ongoing open innovation projects.info:eu-repo/semantics/publishedVersio

A Torelli theorem for graphs via quasistable divisors

The Torelli theorem establishes that the Jacobian of a smooth projective curve, together with the polarization provided by the theta divisor, fully characterizes the curve. In the case of nodal curves, there exists a concept known as fine compactified Jacobian. The fine compactified Jacobian of a curve comes with a natural stratification that can be regarded as a poset. Furthermore, this poset is entirely determined by the dual graph of the curve and is referred to as the poset of quasistable divisors on the graph. We present a combinatorial version of the Torelli theorem, which demonstrates that the poset of quasistable divisors of a graph completely determines the biconnected components of the graph (up to contracting separating edges). Moreover, we achieve a natural extension of this theorem to tropical curves.Comment: MSC: 05Cxx, 14Hxx. 22 page

Applying social network analysis to identify project critical success factors

A key challenge in project management is to understand to which extent the dynamic interactions between the different project people—through formal and informal networks of collaboration that temporarily emerge across a project´s lifecycle—throughout all the phases of a project lifecycle, influence a project’s outcome. This challenge has been a growing concern to organizations that deliver projects, due their huge impact in economic, environmental, and social sustainability. In this work, a heuristic two-part model, supported with three scientific fields—project management, risk management, and social network analysis—is proposed, to uncover and measure the extent to which the dynamic interactions of project people—as they work through networks of collaboration—across all the phases of a project lifecycle, influence a project‘s outcome, by first identifying critical success factos regarding five general project collaboration types((1) communication and insight, (2) internal and cross collaboration, (3) know-how and power sharing, (4) clustering, and (5) team work efficiency) by analyzing delivered projects, and second, using those identified critical success factos to provide guidance in upcoming projects regarding the five project collaboration types.info:eu-repo/semantics/publishedVersio