Hodge's general conjecture is false for trivial reasons, Topology 8 299-303 (1969). 71493517 - Viaf 7.2 Sheaf theory. Hodge conjecture in nLab Alexander Grothendieck, 'Hodge's general conjecture is false for trivial reasons', Topology, 8 (3), 299 - 303 (1969). A CNRS researcher for around thirty years, she now holds the chair in Algebraic Geometry at the Collège de France. [1903.02111v1] Variation of Stable Birational Types of Hypersurfaces In this paper, we show indeed that the weight 2 Hodge structure on the exterior . Vladimir Voevodsky | Institute for Advanced Study - IAS List of algebraic geometry topics - Wikipedia Pseudoeffective and nef classes on abelian varieties - Cambridge Instructor: Burt Totaro. Claire Voisin. Claire Voisin, On integral Hodge classes on uniruled or Calabi-Yau threefolds, Moduli spaces and arithmetic geometry, Adv. Math Links Online Resources People. PDF Motives: arithmetic, algebraic geometry and topology under the ... - LMU Constructions and Obstructions in Birational Geometry DOI: 10.1017/CBO9780511615344 Corpus ID: 123586175; Hodge theory and complex algebraic geometry @inproceedings{Voisin2002HodgeTA, title={Hodge theory and complex algebraic geometry}, author={Claire Voisin and Leila Schneps}, year={2002} } "What on earth is all that?" "That's what I'm going to read," said Paulo optimistically. Moreover, not only does it relate two cohomology theories on the scheme , but it relates two entire fields: algebraic topology and algebraic geometry. Voisin,Claire Abel-Jacobimap,integralHodgeclassesanddecompositionofthediagonal. E-mail: totaro@math.ucla.edu. 2/5 Claire Voisin, when asked who has the same greatness as Grothendieck as mathematician, replies: "There is no one.
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