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Towards intersection homology theory for real algebraic varieties

Prelegent(ci)
Adam Parusiński
Afiliacja
Nicea
Termin
10 maja 2018 14:15
Pokój
p. 4060
Seminarium
Seminarium „Topologia algebraiczna”

We present a definition of intersection homology for real algebraic varieties that is analogous to Goresky and MacPherson’s original definition of intersection homology for complex varieties. This definition is not purely topological and uses the algebraic variety structure. We show that it has the expected properties in two cases when the varietyadmits a small resolution and when the singularities are isolated.