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The dual polarization of an abelian variety
Archiv Der Mathematik, 1999Let \(X\) denote a polarized abelian variety of dimension \(g\) over the complex field \(\mathbb C\) and let \(L\) be an ample line bundle such that \(H=c_1(L)\in H^2(X,\mathbb Z)\) is the given polarization on \(X\), having degree \(d=h^0(L)\). We denote by \(\varphi_L:X\to\widehat X\) the isogeny induced by \(L\).
Lange H
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Varieties with degenerate dual variety
Forum Mathematicum, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degree of the dual of a grassman variety
Communications in Algebra, 1981(1981). Degree of the dual of a grassman variety. Communications in Algebra: Vol. 9, No. 11, pp. 1215-1225.
Alain Lascoux
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On the dual of a smooth variety
Lecture Notes in Mathematics, 1979AUDUN Holme, Holme AUDUN
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On the Duals of Segre Varieties
Geometriae Dedicata, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Dual of Projective Varieties
Canadian Mathematical Bulletin, 1991AbstractHere we give examples and classifications of varieties with strange behaviour for the enumeration of contacts (answering a question raised by Fulton, Kleiman, MacPherson). Then we give upper and lower bounds (in terms of the degree) for the non-zero ranks of a projective variety.
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Hypersurfaces with Smooth Dual Varieties
American Journal of Mathematics, 1995Let \(X\) be a smooth hypersurface of degree \(d \geq 3\) in a projective space \(\mathbb P^{n+1}\) defined over an algebraically closed field \(k\) of characteristic \(p > 0\). The dual hypersurface \(X^{*}\) of \(X\) is a subvariety of the dual projective space \(\mathbb P^{n+1*}\) which consists of the hyperplanes in \(\mathbb P^{n+1}\) tangent to \(
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Introduction: The Dual Evolution of Europeanization and Varieties of Governance
European Journal of Industrial Relations, 2005The concept of governance has exploded in popularity. While some criticize it for imprecision, others regard its diffuseness as well suited to analysis of the ambiguous institutions and processes of the European Union. In this introductory article, we review some of the underlying controversies and survey the articles which comprise this special issue ...
Leisink, P.L.M., Hyman, R.
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Dual discriminator subvarieties of a variety
Algebra Universalis, 1995The dual discriminator function \(d(x,y,z)\) on a set \(A\) is defined as \(d (a, b, c) = a\) if \(a = b\) and \(d(a,b,c) = c\) if \(a \neq b\). Let \(q(x,y,z)\) be a term of a variety \({\mathcal V}\) of algebras. Then the subvariety \({\mathcal X}\) of \({\mathcal V}\) generated by all algebras in \({\mathcal V}\) where \(q(x,y,z)\) yields the dual ...
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