3 papers
math.AG2018
Decomposition theorem and torus actions of complexity one
Marta Agustin Vicente, Kevin Langlois
We algorithmically compute the intersection cohomology Betti numbers of any complete normal algebraic variety with a torus action of complexity one.
math.AG2018
Horizontal Ga-actions on affine T-varieties of complexity one
Kevin Langlois
We classify the -actions on normal affine varieties defined over any field that are horizontal with respect to a torus action of complexity one. This generalizes pr…
math.AG2018
Models of affine curves and Ga-actions
Kevin Langlois
Using the approach of Barkatou and El Kaoui, we classify certain affine curves over discrete valuation rings having a free additive group action. Our classification generalizes res…