9 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AG2015★ 2 cited
Interpolation for normal bundles of general curves
Atanas Atanasov, Eric Larson, David Yang
Given n general points p_1, p_2,..., p_n in P^r, it is natural to ask when there exists a curve C \subset P^r, of degree d and genus g, passing through p_1, p_2,..., p_n. In this p…
math.AG2014★ 9 cited
Interpolation and vector bundles on curves
Atanas Atanasov
We define several notions of interpolation for vector bundles on curves and discuss their relation to slope stability. The heart of the paper demonstrates how to use degeneration a…
math.AG2009★ 1 cited
Resolving toric varieties with Nash blow-ups
Atanas Atanasov, Christopher Lopez, Alexander Perry +2
It is a long-standing question whether an arbitrary variety is desingularized by finitely many normalized Nash blow-ups. We consider this question in the case of a toric variety. W…