Holes in
Nikita A. Karpenko (2004)
Annales scientifiques de l'École Normale Supérieure
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Nikita A. Karpenko (2004)
Annales scientifiques de l'École Normale Supérieure
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Margherita Barile, Marcel Morales (2004)
Rendiconti del Seminario Matematico della Università di Padova
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S. Sertöz (1993)
Fundamenta Mathematicae
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We study the Schubert calculus on the space of d-dimensional linear subspaces of a smooth n-dimensional quadric lying in the projective space. Following Hodge and Pedoe we develop the intersection theory of this space in a purely combinatorial manner. We prove in particular that if a triple intersection of Schubert cells on this space is nonempty then a certain combinatorial relation holds among the Schubert symbols involved, similar to the classical one. We also show when these necessary...
Stephen S. Kudla, John J. Millson (1990)
Publications Mathématiques de l'IHÉS
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Joel Roberts (1980)
Compositio Mathematica
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Robert Lazarsfeld (1981)
Compositio Mathematica
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Hélène Pennaneac'h (2001)
Annales de l’institut Fourier
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We construct for a real algebraic variety (or more generally for a scheme essentially of finite type over a field of characteristic ) complexes of algebraically and - algebraically constructible chains. We study their functoriality and compute their homologies for affine and projective spaces. Then we show that the lagrangian algebraically constructible cycles of the cotangent bundle are exactly the characteristic cycles of the algebraically constructible functions.