Irregular hypergeometric D-modules

We study the irregularity of hypergeometric D-modules $\mathcal{M}_A (\beta )$ via the explicit construction of Gevrey series solutions along coordinate subspaces in $X =\mathbb{C}^n$. As a consequence, we prove that along coordinate hyperplanes the combinatorial characterization of the slopes of $\mathcal{M}_A (\beta)$ given by M. Schulze and U. Walther in [21] still holds without any assumption on the matrix A. We also provide a lower bound for the dimensions of the spaces of Gevrey solutions along coordinate subspaces in terms of volumes of polytopes and prove the equality for very generic parameters. Holomorphic solutions outside the singular locus of $\mathcal{M}_A (\beta)$ can be understood as Gevrey solutions of order one along X at generic points and so they are included as a particular case.Comment: 41 pages; references, Remark 7.2. and 4 figures added; some comments changed; corrected typo

Characteristic cycles and Gevrey series solutions of AA-hypergeometric systems

We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the behavior of Gevrey solution spaces of the system.Comment: 22 page

The Rhythm of our Lives. Aesthetic Perspectives East & West

The leading approach to everyday aesthetics for the past few decades has departed from analytic philosophical grounds, generating some tensions or dichotomies regarding its foundational cornerstones: the ordinary vs. extraordinary character of everyday aesthetic experience, contextual familiarity vs. strangeness, object vs. processual orientation, etc. Although John Dewey has been widely acclaimed as a sort of foundational figure for this burgueoning sub-discipline of aesthetics, maybe not enough emphasis has been laid on his very different pragmatist approach. In this regard, his reliance on Hegelian cum Darwinian premises might allow for a connection with other branches of continental as well as Asian philosophies, from which also some research on everyday aesthetics has been made. It is from this wider ontological framework that the notion of rhythm could be vindicated as a pivotal aspect of the aesthetic dimension of our everyday lives. Dewey deals extensively with it in Art as Experience, conceiving it as a sort of pattern of accomplished experiences, accounting also for his naturalistic approach and art and life continuity thesis. On the other hand, neo-pragmatist exponent Richard Shusterman, among others, has posited links of connection between Pragmatist aesthetics and East-Asian philosophies. Particularly, Dewey’s resonances with Asian philosophies have been studied, with a preeminence on the notions of harmony and rhythm. This paper will depart from the analysis of the notion of rhythm in Dewey’s philosophy, trying to hint at some possible developments of its implications. Particularly, it will expand on some East Asian paralelisms to his philosophy, trying to link them with the notion of rhythm as an epitomizing ground for the conjunction of the extraordinary (art) and the ordinary (life).Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

The Poetic Dimension of Everyday Aesthetic Appreciation. Perspectives from East-Asian Cultures

As Yuriko Saito, one of the main exponents of everyday aesthetics holds, East-Asian cultures have long established a deep link between artistic practices and everyday life, transforming apparently mundane practices such as having a cup o ftea with cakes into a highly ritualized form of art (cha-no-yu) and allowing us to enjoy the fleeting moment. The tea ceremony example is grounded, as this paper aims at showing, on a whole East-Asian worldview (as exemplfieied in Confucianism, Daoism and Zen Buddhism philosophies) whereby aesthetic appreciation is deeply pervaded by a poetic feeling, mainly consisting in the interactive harmony or attunement established with the particular circumstances of one’s own life due precisely to its fleeting and evanescent nature. To accomplish this, savouring and perceiving the uniqueness ingrained in every single human experience, the adequate attitude is the poetic one, due to its holistic and non-discriminative nature. Having as its focus everyday life, or simply put, life as such in its specificity, traditional artistic practices in East-Asia as the arts of the brush, garden design or utilitarian crafts such as pottery, become means of revealing what, due to its closeness, lies hidden in ordinary experience. Utilitarian arts are, in this sense, a priviledged way of conveying this end due precisely to its practical link with ordinary existence, preventing the eventual arousal of a purely formal and detached apprehension. The only coherent way to develop this awareness of the extraordinary in the ordinary, to use Leddy’s expression, is through the main feature of all poetic qualities: indirect allusion and subdued reference so that what is close at hand may shine in a different light. Particularly, in association with Japanese Zen Buddhism, where the rootedness of aesthetics in the ordinary is stronger, it has frequently adopted the form of restraint, contention, reserve, or, as Saito puts it, “insufficiency”. This paper aims at showing with the help of a few examples how this difuse poetic attitude, so prevalent in Traditional East-Asian contexts, is required not only in standardized art practices, but also in a wider aesthetic level of awareness of our ordinary experiences. In order to justify these claims, it will refer first to the ideal of harmony or poetic resonance in Chinese aesthetics and then it will refer to some concrete Japanese aesthetic categories inspired by Zen Buddhism, such as mono-no-aware, sabi, wabi, or yugen

International involvement of smes: the impact of ownership

This paper analyses the relation between SME ownership and international involvement. With a wide sample of Spanish firms, from 1991 to 1999, we test the following hypotheses. Family SMEs results in lower involvement in international markets, due to difficult access to necessary strategic resources. SMEs with another company as a large-block shareholder will be more involved internationally, as they do have access more strategic resources. Likewise, when another company invests in a family SME, international involvement increases

No és la meva competència intercultural, soc jo.’ La identitat intercultural del professorat de llengües estrangeres en formació

This article examines the intercultural identity of pre-service foreign language teachers to determine whether they are aware of their intercultural stance and that of others, and whether they portray an identifiable emergent professional persona in relation to interculturality. The ultimate goal of this study is to identify common traits on which to focus future teacher training. The results show that these prospective teachers display an incipient intercultural identity characterised by a tendency to avoid agency and a certain shortage of intercultural knowledge, yet they are notably concerned about their professional image and their responsibility in work environmentsEste artículo indaga en la identidad intercultural del profesorado de lenguas extranjeras en formación para averiguar si es consciente de su postura intercultural y de la de otros, y si presenta una imagen profesional emergente reconocible en relación con la interculturalidad. El objetivo final de este estudio es identificar rasgos comunes en los que podría centrarse la formación del profesorado. Los resultados demuestran que este futuro profesorado muestra una identidad intercultural incipiente caracterizada por su tendencia a evitar la intervención y por una cierta falta de conocimiento intercultural, aunque está notablemente preocupado por su imagen profesional y su responsabilidad en contextos laboralesAquest article indaga en la identitat intercultural del professorat de llengües estrangeres en formació per esbrinar si és conscient de la seva postura intercultural i de la dels altres, i si presenta una imatge professional emergent recognoscible en relació amb la interculturalitat. L’objectiu final d’aquest estudi és identificar trets comuns en els quals es podria centrar la formació del professorat. Els resultats demostren que aquest futur professorat té una identitat intercultural incipient caracteritzada per la seva tendència a evitar la intervenció i per una certa falta de coneixement intercultural, encara que està notablement preocupat per la seva imatge professional i la seva responsabilitat en els contextos laboralsThis work was supported by the Spanish Ministry of Economy and Competition under Grant FFI2016-77540