scholarly journals Rapoport–Zink spaces for spinor groups

2017 ◽  
Vol 153 (5) ◽  
pp. 1050-1118 ◽  
Author(s):  
Benjamin Howard ◽  
Georgios Pappas

After the work of Kisin, there is a good theory of canonical integral models of Shimura varieties of Hodge type at primes of good reduction. The first part of this paper develops a theory of Hodge type Rapoport–Zink formal schemes, which uniformize certain formal completions of such integral models. In the second part, the general theory is applied to the special case of Shimura varieties associated with groups of spinor similitudes, and the reduced scheme underlying the Rapoport–Zink space is determined explicitly.

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.


2018 ◽  
Vol 6 ◽  
Author(s):  
WANSU KIM

We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6(2018) e8, 110 MR 3812116].


A general theory of work-hardening incompressible plastic materials is developed as a special case of Truesdell’s theory of hypo-elasticity. Equations are given in general coordinates for a single loading followed by one unloading, and attention is directed to materials for which the stress-logarithmic strain curve for unloading in simple extension is linear. Using a particular case of the corresponding constitutive equations for loading, which is a generalization of that suggested by Prager, applications are made to a number of specific problems.


A theory is developed of the supersonic flow past a body of revolution at large distances from the axis, where a linearized approximation is valueless owing to the divergence of the characteristics at infinity. It is used to find the asymptotic forms of the equations of the shocks which are formed from the neighbourhoods of the nose and tail. In the special case of a slender pointed body, the general theory at large distances is used to modify the linearized approximation to give a theory which is uniformly valid at all distances from the axis. The results which are of physical importance are summarized in the conclusion (§ 9) and compared with the results of experimental observations.


2015 ◽  
Vol 152 (4) ◽  
pp. 769-824 ◽  
Author(s):  
Keerthi Madapusi Pera

We construct regular integral canonical models for Shimura varieties attached to Spin and orthogonal groups at (possibly ramified) primes$p>2$where the level is not divisible by$p$. We exhibit these models as schemes of ‘relative PEL type’ over integral canonical models of larger Spin Shimura varieties with good reduction at$p$. Work of Vasiu–Zink then shows that the classical Kuga–Satake construction extends over the integral models and that the integral models we construct are canonical in a very precise sense. Our results have applications to the Tate conjecture for K3 surfaces, as well as to Kudla’s program of relating intersection numbers of special cycles on orthogonal Shimura varieties to Fourier coefficients of modular forms.


1987 ◽  
Vol 29 (1) ◽  
pp. 21-40 ◽  
Author(s):  
Mario Petrich ◽  
Stuart Rankin

Transitive group representations have their analogue for inverse semigroups as discovered by Schein [7]. The right cosets in the group case find their counterpart in the right ω-cosets and the symmetric inverse semigroup plays the role of the symmetric group. The general theory developed by Schein admits a special case discovered independently by Ponizovskiǐ [4] and Reilly [5]. For a discussion of this topic, see [1, §7.3] and [2, Chapter IV].


1992 ◽  
Vol 8 (1) ◽  
pp. 149-156 ◽  
Author(s):  
John Roemer

In their article “Roemer's ‘General’ Theory of Exploitation is a Special Case: The Limits of Walrasian Marxism,” Devine and Dymski portray me as some sort of Walrasian automaton who believes that phenomena that are not easily modelled using the Walrasian model of perfect competition do not exist. Their criticism of my theory assumes that I was attempting to model capitalism in its entirety, a task that, I agree, I failed to do. I did not propose a theory of accumulation, or of technological change, or of the methods by which capitalists maintain their ideological hegemony over workers, or of the methods by which they extract labor from labor power at the point of production. I was not, in short, trying to write an alternative to Das Kapital. My General Theory of Exploitation and Class (GTEC), as its Introduction explained, was an attempt at understanding the root causes of exploitation and class, so as to better understand how class formation and exploitation might occur in postcapitalist societies. To this end, I adopted a well-known scientific method: strip away many real aspects of the thing under study down to a minimal skeleton and see how many phenomena descriptive of the real thing one can generate. Then add more real aspects of the thing to the model, and see how much more one can generate.


2011 ◽  
Vol 56 (1) ◽  
pp. 123-142 ◽  
Author(s):  
Daniel Martin Feige

In der deutschen Ästhetik ist die Auskunft einschlägig, dass Fragen der Kunsttheorie einen Teilbereich der allgemeinen Ästhetik bilden, die zumeist anhand des Leitbegriffs ästhetischer Erfahrung umrissen wird. Die These des Artikels ist, dass die philosophische Kunsttheorie keineswegs in diesem Sinne als Teilbereich einer allgemeinen Ästhetik verstanden werden kann. Im ersten Teil buchstabiere ich vor allem ausgehend von Arthur C. Dantos Kunsttheorie die These aus, dass es viele Arten von Kunstwerken gibt, die keinerlei sinnliche Eigenschaften als konstitutive Eigenschaften aufweisen. Im zweiten Teil skizziere ich eine Theorie der sinnlichen Dimension derjenigen Kunstwerke, die eine sinnliche Dimension als konstitutiv aufweisen, und argumentiere, dass diese Dimension in Kunstwerken eine spezifische Strukturiertheit gewinnt, die derartige Kunstwerke kategorial von anderen in der Ästhetik diskutierten Objekten und Ereignissen unterscheidet.<br><br>In german aesthetics, aethetic experience is the most prominent concept to emphasize sensual properties of objects and events. Thus, artistic objects can be understood as a special case of aesthetic experience. In this paper I argue that a theory of art should be separated from a general theory of aesthetics. In a first part, referring to Arthur C. Danto’s arguments, I claim that there are many artworks for which sensual properties are not constitutive. In a second step, I try to show that even sensual artworks cannot be understood sufficiently with regard to the concept of aesthetic experience. They have a specific structure that seperates them categorically from mere aesthetic objects and events.


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