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273,902
EVIDENCE FOR THE DYNAMICAL BRAUERMANIN CRITERION
"... Abstract. Let ϕ: X → X be a morphism of a variety over a number field K. We consider local conditions and a “BrauerManin ” condition, defined by Hsia and Silverman, for the orbit of a point P ∈ X(K) to be disjoint from a subvariety V ⊆ X, i.e., for Oϕ(P) ∩ V = ∅. We provide evidence that the dynam ..."
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Cited by 1 (1 self)
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that the dynamical BrauerManin condition is sufficient to explain the lack of points in the intersection Oϕ(P) ∩ V; this evidence stems from a probabilistic argument as well as unconditional results in the case of étale maps. 1.
On a dynamical Brauer–Manin obstruction
 Proceedings of JA2007
"... Abstract. Let ϕ: X → X be a morphism of a variety defined over a number field K, let V ⊂ X be a Ksubvariety, and let Oϕ(P) = {ϕ n (P) : n ≥ 0} be the orbit of a point P ∈ X(K). We describe a localglobal principle for the intersection V ∩Oϕ(P). This principle may be viewed as a dynamical analog of ..."
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Cited by 4 (2 self)
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of the Brauer– Manin obstruction. We show that the rational points of V (K) are Brauer–Manin unobstructed for power maps on P 2 in two cases: (1) V is a translate of a torus. (2) V is a line and P has a preperiodic coordinate. A key tool in the proofs is the classical Bang– Zsigmondy theorem on primitive
THE BRAUERMANIN OBSTRUCTION TO THE HASSE PRINCIPLE
, 2007
"... My greatest gratitude goes out to my supervisor Dr Daniel Chan. He helped me pick the topic for this thesis which turned out to be extremely interesting, helped me with the writing of this thesis and most importantly never refused to spend time with me to help me learn mathematics. I thank him deepl ..."
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My greatest gratitude goes out to my supervisor Dr Daniel Chan. He helped me pick the topic for this thesis which turned out to be extremely interesting, helped me with the writing of this thesis and most importantly never refused to spend time with me to help me learn mathematics. I thank him deeply for this. I would to also like thank my high school maths teacher Ian Denton for getting me interested in mathematics to begin with. Similarly, a special thanks goes to Dr Ian Doust who, in response to my email requesting permission to avoid doing any algebra courses replied: “I’m not going to let you out of here with a pure maths degree without seeing some proper group theory!”. I hope this thesis shows that I have learnt the basics of group theory, and Ian will let me graduate. Thank you to Kenneth and Hugo, for helping me throughout this year, and thank you to Anna for being supportive and putting up with me. Special thanks also goes to my family.
The Hasse principle and the BrauerManin obstruction for curves
 Manuscripta Math
, 2004
"... Abstract. We discuss a range of ways, extending existing methods, to demonstrate violations of the Hasse principle on curves. Of particular interest are curves which contain a rational divisor class of degree 1, even though they contain no rational point. For such curves we construct new types of ex ..."
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Cited by 24 (2 self)
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of examples of violations of the Hasse principle which are due to the BrauerManin obstruction, subject to the conjecture that the TateShafarevich group of the Jacobian is finite. 1.
The theory and practice of corporate finance: Evidence from the field
 Journal of Financial Economics
, 2001
"... We survey 392 CFOs about the cost of capital, capital budgeting, and capital structure. Large firms rely heavily on present value techniques and the capital asset pricing model, while small firms are relatively likely to use the payback criterion. We find that a surprising number of firms use their ..."
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Cited by 680 (20 self)
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We survey 392 CFOs about the cost of capital, capital budgeting, and capital structure. Large firms rely heavily on present value techniques and the capital asset pricing model, while small firms are relatively likely to use the payback criterion. We find that a surprising number of firms use
Information Technology, Workplace Organization, and the Demand for Skilled Labor: FirmLevel Evidence
 Journal of Economics
, 2002
"... We investigate the hypothesis that the combination of three related innovations—1) information technology (IT), 2) complementary workplace reorganization, and 3) new products and services — constitute a signi�cant skillbiased technical change affecting labor demand in the United States. Using detai ..."
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Cited by 589 (15 self)
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detailed �rmlevel data, we �nd evidence of complementarities among all three of these innovations in factor demand and productivity regressions. In addition, �rms that adopt these innovations tend to use more skilled labor. The effects of IT on labor demand are greater when IT is combined
Trade Policy and Economic Growth: A Skeptic's Guide to the CrossNational Evidence
 Macroeconomics Annual 2000, Ben Bemanke and
, 2000
"... Andrew Warner for generously sharing their data with us. We are particularly grateful to BenDavid, Frankel, Romer, Sachs, Warner and Romain Wacziarg for helpful email exchanges. We have benefited greatly from discussions in seminars at the University of California at Berkeley, ..."
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Cited by 1013 (25 self)
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Andrew Warner for generously sharing their data with us. We are particularly grateful to BenDavid, Frankel, Romer, Sachs, Warner and Romain Wacziarg for helpful email exchanges. We have benefited greatly from discussions in seminars at the University of California at Berkeley,
Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models
 Journal of Business and Economic Statistics
, 2002
"... Time varying correlations are often estimated with Multivariate Garch models that are linear in squares and cross products of the data. A new class of multivariate models called dynamic conditional correlation (DCC) models is proposed. These have the flexibility of univariate GARCH models coupled wi ..."
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Cited by 684 (17 self)
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Time varying correlations are often estimated with Multivariate Garch models that are linear in squares and cross products of the data. A new class of multivariate models called dynamic conditional correlation (DCC) models is proposed. These have the flexibility of univariate GARCH models coupled
Results 1  10
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273,902