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Multiple Kernels for Object Detection
"... Our objective is to obtain a stateofthe art object category detector by employing a stateoftheart image classifier to search for the object in all possible image subwindows. We use multiple kernel learning of Varma and Ray (ICCV 2007) to learn an optimal combination of exponential χ 2 kernels, ..."
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Cited by 275 (10 self)
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. Thus we propose a novel threestage classifier, which combines linear, quasilinear, and nonlinear kernel SVMs. We show that increasing the nonlinearity of the kernels increases their discriminative power, at the cost of an increased computational complexity. Our contributions include (i) showing
On Shimura curves in the Schottky locus
 J. Algebraic Geom
"... Abstract. We show that a given rational Shimura curve Y with strictly maximal Higgs field in the moduli space of gdimensional Abelian varieties does not generically intersect the Schottky locus for large g. We achieve this by using a result of Viehweg and Zuo which says that if Y parameterizes a fa ..."
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Cited by 7 (0 self)
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Abstract. We show that a given rational Shimura curve Y with strictly maximal Higgs field in the moduli space of gdimensional Abelian varieties does not generically intersect the Schottky locus for large g. We achieve this by using a result of Viehweg and Zuo which says that if Y parameterizes a
On the Hasse principle for Shimura curves
 the Israel Math. J
"... Abstract. Let C be an algebraic curve defined over a number field K, of positive genus and without Krational points. We conjecture that there exists some extension field L over which C has points everywhere locally but not globally. We show that our conjecture holds for all but finitely many Shimur ..."
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Cited by 7 (4 self)
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Shimura curves of the form X D 0 (N) /Q or X D 1 (N) /Q, where D> 1 and N are coprime squarefree positive integers. The proof uses a variation on a theorem of Frey, a gonality bound of Abramovich, and an analysis of local points of small degree. 1.
SHIMURA AND TEICHMÜLLER CURVES
, 2005
"... We classify curves in the moduli space of curves that are both Shimuraand Teichmüller curves: Except for the moduli space of genus one curves there is only a single such curve. We start with a Hodgetheoretic description of Shimura curves and Teichmüller curves that reveals similarities and differe ..."
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Cited by 4 (3 self)
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We classify curves in the moduli space of curves that are both Shimuraand Teichmüller curves: Except for the moduli space of genus one curves there is only a single such curve. We start with a Hodgetheoretic description of Shimura curves and Teichmüller curves that reveals similarities
Canonical models of Shimura curves
, 2003
"... As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main ideas and results of the general theory of Shimura varieties in the context of Shimura curves. These notes had their origin in a twohour lecture I gave on ..."
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Cited by 2 (0 self)
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As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main ideas and results of the general theory of Shimura varieties in the context of Shimura curves. These notes had their origin in a twohour lecture I gave
Descent on certain Shimura curves
 Burnside Hall, Department of Mathematics and Statistics, McGill University
"... ABSTRACT We give an explicit procedure for constructing Shimura curves analogous to the modular curves Xo(N) that are counterexamples to the Hasse principle over imaginary quadratic fields. These counterexamples are accounted for by the Manin obstruction. Introduction The aim of this note is to sho ..."
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Cited by 2 (1 self)
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ABSTRACT We give an explicit procedure for constructing Shimura curves analogous to the modular curves Xo(N) that are counterexamples to the Hasse principle over imaginary quadratic fields. These counterexamples are accounted for by the Manin obstruction. Introduction The aim of this note
SHIMURA CURVE COMPUTATIONS
"... Abstract. We introduce Shimura curves first as Riemann surfaces and then as moduli spaces for certain abelian varieties. We give concrete examples of these curves and do some explicit computations with them. ..."
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Abstract. We introduce Shimura curves first as Riemann surfaces and then as moduli spaces for certain abelian varieties. We give concrete examples of these curves and do some explicit computations with them.
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