34 citations · 83 across the 16 of their papers we have counts for
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Veronese and Segre morphisms between non-commutative projective spaces
Francesca Arici, Francesco Galuppi, Tatiana Gateva-Ivanova
We study Veronese and Segre morphisms between non-commutative projective spaces. We compute finite reduced Gröbner bases for their kernels, and we compare them with their analogues…
Pimsner algebras and circle bundles
Francesca Arici, Francesco D'Andrea, Giovanni Landi
We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with the examples of quan…
Pimsner algebras and Gysin sequences from principal circle actions
Francesca Arici, Jens Kaad, Giovanni Landi
A self Morita equivalence over an algebra B, given by a B-bimodule E, is thought of as a line bundle over B. The corresponding Pimsner algebra O_E is then the total space algebra o…
The Gysin Sequence for Quantum Lens Spaces
Francesca Arici, Simon Brain, Giovanni Landi
We define quantum lens spaces as `direct sums of line bundles' and exhibit them as `total spaces' of certain principal bundles over quantum projective spaces. For each of these qua…