Lang Lecture

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Lecture 7. the Lang-weil Estimate and the Zeta Function of an Arithmetic Scheme

Λ := {x,H1, . . . , Hr+1) ∈ V × (P∗)r+1 | x ∈ Hi for all i}. Let f : Λ → V and g : Λ → (P∗)r+1 denote the morphisms induced by projections. It is clear that every f−1(x) is isomorphic to (Pn−1 K ) . Therefore Λ is irreducible, of dimension r + (n − 1)(r + 1). On the other hand, since we can find (H1, . . . , Hr+1) ∈ (P∗)r+1 such that V ∩H1 . . . ∩Hr+1 is a nonempty finite set, it follows that g...

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Colleen Lang

Relationships between dominance and social skills (Study 1), and between popularity and social skills, and social control motivation and dominance (Study 2), were investigated in preschool children. As predicted, motivation and the ability to pose positive emotions predicted dominance. Unexpectedly, motivation also predicted popularity. Results suggest that both social skills and motivation rel...

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Lang-trotter Revisited

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The Dynamical Mordell-lang Conjecture

We prove a special case of a dynamical analogue of the classical Mordell-Lang conjecture. In particular, let φ be a rational function with no superattracting periodic points other than exceptional points. If the coefficients of φ are algebraic, we show that the orbit of a point outside the union of proper preperiodic subvarieties of (P) has only finite intersection with any curve contained in (...

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Amy Lang paper

Biographical Sketch: Amy Lang ([email protected]) is a PhD Candidate in the Department of Sociology at the University of Wisconsin-Madison. Her research is concerned with the variety of ways that citizens participate in politics. Her dissertation uses the case study of the BC Citizens' Assembly to contribute to several debates in the theory and practice of deliberation and participatory govern...

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ژورنال

عنوان ژورنال: Proceedings of the Royal Society of Medicine

سال: 1971

ISSN: 0035-9157

DOI: 10.1177/003591577106401107