Symmetric (Not Complete Intersection) Semigroups Generated by Six Elements

Author(s):  
Leonid G. Fel
2020 ◽  
Vol 59 (3) ◽  
pp. 248-255
Author(s):  
Jean-Marc Guilé ◽  
Nicolas Benard ◽  
Olivier Bourdon ◽  
Yann Griboval ◽  
Hélène Lahaye ◽  
...  

Une intervention psychothérapeutique protocolisée a été mise au point par Stanley et associés pour aider à prévenir de futurs comportements suicidaires chez les personnes qui ont déjà fait une tentative de suicide. Le plan de sécurité (PS) fournit aux suicidants une planification écrite, personnalisée, étape par étape, des stratégies de protection et d’adaptation (coping) à mettre en œuvre en cas de crise suicidaire. Le PS comprend six éléments informatifs : (1) les signes avant-coureurs liés à une augmentation des impulsions suicidaires; (2) les stratégies d’adaptation internes que l’individu est capable de mettre en œuvre par lui-même; (3) les stratégies d’adaptation à mettre en œuvre avec le soutien d’amis et de parents; (4) les moyens qu’il/elle peut employer pour contacter les personnes significatives au sein de son réseau de soutien social; (5) les professionnels de la santé mentale et les services d’assistance téléphonique à éventuellement contacter en cas d’urgence suicidaire; et (6) les stratégies pour obtenir un environnement plus sûr au domicile. Les PS sont élaborés avec les suicidants au décours de la crise suicidaire. Les suicidants sont encouragés à partager le SP avec un proche de leur réseau de soutien. Ceci est obligatoire avec un suicidant mineur. Le parent ou le responsable légal doit être impliqué dans la préparation et le suivi du PS. Afin d’évaluer en permanence le risque suicidaire de l’individu, les PS sont revus tout au long du suivi thérapeutique. Le SP est une brève intervention, facile à mettre en œuvre à la suite d’une tentative de suicide. On dispose de résultats de recherche prometteurs concernant son efficacité dans la prévention des récidives de conduites auto-agressives.


2020 ◽  
Vol 28 (1) ◽  
pp. 44
Author(s):  
Johar Arifin ◽  
Ilyas Husti ◽  
Khairunnas Jamal ◽  
Afriadi Putra

This article aims to explain maqâṣid al-Qur’ân according to M. Quraish Shihab and its application in interpreting verses related to the use of social media. The problem that will be answered in this article covers two main issues, namely how the perspective of maqâṣid al-Qur’ân according to M. Quraish Shihab and how it is applied in interpreting the verses of the use of social media. The method used is the thematic method, namely discussing verses based on themes. Fr om this study the authors concluded that according to M. Quraish Shihab there are six elements of a large group of universal goals of the al-Qur’ân, namely strengthening the faith, humans as caliphs, unifying books, law enforcement, callers to the ummah of wasathan, and mastering world civilization. The quality of information lies in the strength of the monotheistic dimension which is the highest peak of the Qur’anic maqâṣid. M. Quraish Shihab offers six diction which can be done by recipients of information in interacting on social media. Thus, it aims to usher in the knowledge and understanding of what is conveyed in carrying out human mission as caliph, enlightenment through oral and written, law enforcement, unifying mankind and the universe to the ummah of wasathan, and mastery of world civilization


2006 ◽  
Vol 31 (6) ◽  
pp. 657-668 ◽  
Author(s):  
Su-Wen Kao ◽  
Yu-Liang Chen ◽  
Tsung-Shune Ching ◽  
Jien-Wei Yeh

Author(s):  
Ugo Bruzzo ◽  
William Montoya

AbstractWe establish the Hodge conjecture for some subvarieties of a class of toric varieties. First we study quasi-smooth intersections in a projective simplicial toric variety, which is a suitable notion to generalize smooth complete intersection subvarieties in the toric environment, and in particular quasi-smooth hypersurfaces. We show that under appropriate conditions, the Hodge conjecture holds for a very general quasi-smooth intersection subvariety, generalizing the work on quasi-smooth hypersurfaces of the first author and Grassi in Bruzzo and Grassi (Commun Anal Geom 28: 1773–1786, 2020). We also show that the Hodge Conjecture holds asymptotically for suitable quasi-smooth hypersurface in the Noether–Lefschetz locus, where “asymptotically” means that the degree of the hypersurface is big enough, under the assumption that the ambient variety $${{\mathbb {P}}}_\Sigma ^{2k+1}$$ P Σ 2 k + 1 has Picard group $${\mathbb {Z}}$$ Z . This extends to a class of toric varieties Otwinowska’s result in Otwinowska (J Alg Geom 12: 307–320, 2003).


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Magdalena Larfors ◽  
Davide Passaro ◽  
Robin Schneider

Abstract The systematic program of heterotic line bundle model building has resulted in a wealth of standard-like models (SLM) for particle physics. In this paper, we continue this work in the setting of generalised Complete Intersection Calabi Yau (gCICY) manifolds. Using the gCICYs constructed in ref. [1], we identify two geometries that, when combined with line bundle sums, are directly suitable for heterotic GUT models. We then show that these gCICYs admit freely acting ℤ2 symmetry groups, and are thus amenable to Wilson line breaking of the GUT gauge group to that of the standard model. We proceed to a systematic scan over line bundle sums over these geometries, that result in 99 and 33 SLMs, respectively. For the first class of models, our results may be compared to line bundle models on homotopically equivalent Complete Intersection Calabi Yau manifolds. This shows that the number of realistic configurations is of the same order of magnitude.


Author(s):  
Yonghwa Cho ◽  
Yeongrak Kim ◽  
Kyoung-Seog Lee

Abstract In this paper, we investigate the moduli space of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\mathbb P^5$. The main ingredient is the semiorthogonal decomposition by Bondal–Orlov, combined with the categorical methods pioneered by Kuznetsov and Lahoz–Macrì–Stellari. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in $\mathbb P^5$ carries an Ulrich bundle of rank $r$ for every $r \ge 2$. Moreover, we provide a description of the moduli space of stable Ulrich bundles.


2011 ◽  
Vol 22 (04) ◽  
pp. 515-534 ◽  
Author(s):  
IUSTIN COANDĂ

We are concerned with the problem of the stability of the syzygy bundles associated to base-point-free vector spaces of forms of the same degree d on the projective space of dimension n. We deduce directly, from M. Green's vanishing theorem for Koszul cohomology, that any such bundle is stable if its rank is sufficiently high. With a similar argument, we prove the semistability of a certain syzygy bundle on a general complete intersection of hypersurfaces of degree d in the projective space. This answers a question of H. Flenner [Comment. Math. Helv.59 (1984) 635–650]. We then give an elementary proof of H. Brenner's criterion of stability for monomial syzygy bundles, avoiding the use of Klyachko's results on toric vector bundles. We finally prove the existence of stable syzygy bundles defined by monomials of the same degree d, of any possible rank, for n at least 3. This extends the similar result proved, for n = 2, by L. Costa, P. Macias Marques and R. M. Miro-Roig [J. Pure Appl. Algebra214 (2010) 1241–1262]. The extension to the case n at least 3 has been also, independently, obtained by P. Macias Marques in his thesis [arXiv:0909.4646/math.AG (2009)].


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