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On the geometry of polynomial mappings at infinity

Anna Valette, Guillaume Valette (2014)

Annales de l’institut Fourier

We associate to a given polynomial map from 2 to itself with nonvanishing Jacobian a variety whose homology or intersection homology describes the geometry of singularities at infinity of this map.

On the groups Θ n F of a sphere

S. Dragotti, G. Magro, L. Parlato (2000)

Bollettino dell'Unione Matematica Italiana

In questo articolo studiamo i gruppi Θ h F di una sfera S n e proviamo che il gruppo Θ n F S n , x 0 è isomorfo all'ennesimo gruppo di omotopia di S n , x 0 , nell'ipotesi che F sia una classe coconnessa di links ammissibili.

On the homological category of 3-manifolds.

José Carlos Gómez Larrañaga, Francisco Javier González Acuña (1991)

Revista Matemática de la Universidad Complutense de Madrid

Let M be a closed, connected, orientable 3-manifold. Denote by n(S1 x S2) the connected sum of n copies of S1 x S2. We prove that if the homological category of M is three then for some n ≥ 1, H*(M) is isomorphic (as a ring) to H*(n(S1 x S2)).

Currently displaying 1861 – 1880 of 3053