Topological manifolds and real algebraic geometry
Tognoli, Alberto
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 545-555 / Harvested from Biblioteca Digitale Italiana di Matematica
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We study the problem of approximating, up to homotopy, compact topological manifolds by real algebraic varieties. As a consequence, we realize any integral non-degenerate quadratic form as the intersection form of a real algebraic variety. This is related to a well-known result, due to Freedman [F], on the topology of closed simply-connected topological 4-manifolds.

Si studia il problema di approssimazione, a meno di omotopia, delle varietà topologiche compatte di dimensione 4 con varietà algebriche. Come conseguenza si prova che ogni forma quadratica intera non degenere è la forma di intersezione di una varietà algebrica reale di dimensione 4. Questi risultati sono legati ai ben noti lavori di Freedman sulla topologia delle varietà compatte, semplicemente connesse di dimensione 4.

Publié le : 2003-10-01
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     author = {Alberto Tognoli},
     title = {Topological manifolds and real algebraic geometry},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {545-555},
     zbl = {1178.57019},
     mrnumber = {2014817},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_3_545_0}
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Tognoli, Alberto. Topological manifolds and real algebraic geometry. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 545-555. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_3_545_0/

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