Hodge theory voisin
http://user.math.uzh.ch/mantovani/seminars/seminar_on_hodge_theory/hodge_program.pdf NettetCompletely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. …
Hodge theory voisin
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Nettet7. apr. 2005 · In the remainder of Volume I and in Volume II, Voisin brings together for the first time a truly comprehensive treatment of the modern theory of variations of Hodge … NettetVoisin, Claire. Hodge theory and complex algebraic geometry / Claire Voisin. p. cm. – (Cambridge studies in advanced mathematics) Includes bibliographical references and …
NettetThe first object associated to an analytic cycle in a compact complex manifold is its homology class. More generally, without any compactness hypothesis, we can define the cohomology class [ Z] ∈ H2k ( X, ℤ) of an analytic subset of codimension k of a complex manifold. When the components Zi of the cycle Z = Σ iniZi are smooth, this class ... NettetVoisin's book is quite (but not always) self-contained and well-written. For the supplementary references, you may use the first chapters of Griffiths-Harris "principles …
NettetHODGE THEORY Abstract. Program WS 2014/1015 for the \Baby Seminar" on Hodge Theory. 1. Basic complex differential geometry ... C.Voisin, Hodge Theory and Complex algebraic geometry. I [2] C.Voisin, Hodge Theory and Complex algebraic geometry. II [3] P.Deligne, Thorie de Hodge, II Nettet28. sep. 2016 · Modified 5 years, 6 months ago. Viewed 914 times. 4. I'm afraid this question is specific to Voisin's proof of the hodge index thm in her book Hodge Theory …
NettetFriday, lecture 7: Hodge theory of reducible surfaces Hodge decomposition and periods of reducible surfaces. Explicit computations with surfaces in space with two components. ... [Voi] Claire Voisin, Hodge theory and complex algebraic geometry I and II. Create a website or blog at WordPress.com ...
Nettet10. apr. 2024 · The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge … twitter 65574156She is noted for her work in algebraic geometry particularly as it pertains to variations of Hodge structures and mirror symmetry, and has written several books on Hodge theory. In 2002, Voisin proved that the generalization of the Hodge conjecture for compact Kähler varieties is false. The Hodge conjecture is one of the seven Clay Mathematics Institute Millennium Prize Problems which … twitter 65969782Nettet3. jul. 2003 · Hodge Theory and Complex Algebraic Geometry II: Volume 2 Volume 77 of Cambridge Studies in Advanced Mathematics: Author: Claire Voisin: Translated by: … twitter 64NettetSolutions of "Hodge Theory and Complex Algebraic Geometry" by Claire Voisin. (Originally published in French as "Theorie de Hodge et Geometrie Algebrique Complexe") I have some handwritten solutions. I type them up from time to time when I got bored. It may take forever to complete the solution. Vol I, Chapter 8 (PDF) taking opiates while on suboxoneNettetHodge loci Claire Voisin Abstract. The goal of this expository article is rst of all to show that Hodge theory provides naturally de ned subvarieties of any moduli space parameterizing smooth varieties, the \Hodge loci", although only the Hodge conjecture would guarantee that these subvarieties are de ned on a nite extension of the base eld. twitter 6644Nettet2. feb. 2006 · Voisin, C.Hodge theory and complex algebraic geometry (Cambridge University Press, 2002, 2003), 0 521 80260 1 (volume 1, hardback), £55 ($80), 0 521 … twitter 66531205Nettet6. aug. 2024 · Overview. Hodge theory is the study of properties of (complex, rational and integer) cohomology (and motives) of Kähler manifolds, induced by a Hodge filtration – given in the classical situation by harmonic differential forms – and the corresponding Hodge theorem.Hodge theory also applies in combinatorics, for instance to matroids … twitter66