scholarly journals Segre embeddings and the canonical image of a curve

2012 ◽  
Vol 164 (1) ◽  
pp. 1-7
Author(s):  
Nathan Grieve
Keyword(s):  
1981 ◽  
Vol 33 (4) ◽  
pp. 988-1021 ◽  
Author(s):  
J. W. Lorimer

Affine and projective Hjelmslev planes are generalizations of ordinary affine and projective planes where two points (lines) may be joined by (may intersect in) more than one line (point). The elements involved in multiple joinings or intersections are neighbours, and the neighbour relations on points respectively lines are equivalence relations whose quotient spaces define an ordinary affine or projective plane called the canonical image of the Hjelmslev plane. An affine or projective Hjelmslev plane is a topological plane (briefly a TH-plane and specifically a TAH-plane respectively a TPH-plane) if its point and line sets are topological spaces so that the joining of non-neighbouring points, the intersection of non-neighbouring lines and (in the affine case) parallelism are continuous maps, and the neighbour relations are closed.In this paper we continue our investigation of such planes initiated by the author in [38] and [39].


2020 ◽  
Vol 199 (6) ◽  
pp. 2341-2356
Author(s):  
Luca Rizzi ◽  
Francesco Zucconi

2020 ◽  
pp. 1-3
Author(s):  
Jernej Habjan

Conceived 51 years after the global workers’ and student revolt of May 1968, this Focus will break down the theoretical and literary legacy of May into three intervals of 17 years. In 1985, 17 years after 1968, Luc Ferry and Alain Renaut published a book, La pensée 68, in which they canonized the view that the theoretical underpinning of May ’68 was provided by French structuralist thinkers, notably Michel Foucault, Jacques Derrida, Pierre Bourdieu and Jacques Lacan (see Ferry and Renaut 1985; for the English translation, see Ferry and Renaut 1990). Seventeen years later, in 2002, Kristin Ross’s book May ’68 and its Afterlives effectively replaced this canonical image with the notion that French structuralists were all either completely absent or showed at least great reserve during the events of May and that, moreover, the closest theoretical allies of the protesters and strikers were in fact the main philosophical targets of structuralist anti-humanists, namely Jean-Paul Sartre and Herbert Marcuse with their schools of humanist Marxism (see Ross 2002). Seventeen years after Ross’s seminal book, it may be time to negate both the thesis from 1985 and Ross’s antithesis from 2002, and ask the following simple question: why, despite the massive presence of Sartre and Marcuse, and the equally massive absence of Foucault, Derrida, Bourdieu and Lacan, but also Gilles Deleuze and Louis Althusser, has the memory politics of May ’68 during the past half-century included the canonization of structuralism and post-structuralism at the expense of none other than humanism, be it Marxist or non-Marxist?


2021 ◽  
pp. jnumed.120.258962
Author(s):  
Alex Whittington ◽  
Roger Gunn
Keyword(s):  
Tau Pet ◽  

2021 ◽  
Vol 20 (10) ◽  
pp. 72-81
Author(s):  
Yurii L. Kuzhel ◽  
Tatiana I. Breslavets

Diverse, unusual images of Buddhist deities are ubiquitous in Japan. In a number of ways, they differ from traditional temple images, demonstrating a deviation from the canon, which dictates certain, centuries-old norms and rules regarding postures, position of feet, fingers, gestures, symbols. Simplification of expressive means, a stylized image become the predominant features in the image of extraordinary images. The appearance of unusual Buddhist sculptures in the plastic field of the country is often associated with the existence of legends, traditions, and also facts that took place throughout the history of Japan among the population. The iconography of unusual Buddhas is very diverse and encompasses both the Buddhas themselves and the bodhisattvas, Kings of Light, Heavenly Kings, and so on. Six-armed Jizō, Rope-tied Jizō, Yata Jizō, Child-giving Jizō are added to the familiar images of the Bodhisattva Jizō. Amida Buddha, who is habitually portrayed as sitting frontally, appears in a new form – standing and in profile or with his head bowed. A very colourful group is represented by deities sitting on zoomorphic thrones – lions, elephants, riding birds – knocked out of the canonical image. The traditional images of the Eleven-headed, Thousand-armed Bodhisattva Kannon always seemed unusual, although they became familiar. However, placing the bodhisattva on a mount bird – a four-legged, eight-headed raven gives reason to consider this sculpture unusual. In unusual sculptures, there is a deviation from the norm, an abstraction from the traditional image. Aesthetic ideals are not realized through a complex of canons, rather through a new figurative language, not yet fixed by tradition.


1981 ◽  
Vol 33 (1) ◽  
pp. 68-90
Author(s):  
Sin-Ei Takahasi

Let A be a quasi-central complex Banach algebra with a bounded approximate identity and Prim A the structure space of A. In [15], we have shown that every central double centralizer T on A can be represented as a bounded continuous complex-valued function ΦT on Prim A such that Tx + P = ΦT(P)(x + P) for all x ∈ A and P ∈ Primal when the center Z(A) of A is completely regular. Here x + P for P ∈ Prim A denotes the canonical image of x in A/P. In particular, in the case of quasi-central C*-algebras, this result is equivalent to the Dixmier's representation theorem of central double centralizers on C*-algebras (see [3, Section 2] and [9, Theorem 5]).In this paper, it is shown that if Z(A) is completely regular then the space Prim A is locally quasi-compact and for each element z of Z(A), ΦLz vanishes at infinity, where Lz for z ∊ Z(i) is the central double centralizer on A defined by Lz(x) = zx for all x ∊ A.


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