4 papers · 1 filter
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
On computing local monodromy and the numerical local irreducible decomposition
Parker B. Edwards, Jonathan D. Hauenstein
Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Following the paradigm of numeri…
Smooth connectivity in real algebraic varieties
Joseph Cummings, Jonathan D. Hauenstein, Hoon Hong +1
A standard question in real algebraic geometry is to compute the number of connected components of a real algebraic variety in affine space. By adapting an approach for determining…
Some interesting birational morphisms of smooth affine quadric -folds
Cinzia Bisi, Jonathan D. Hauenstein, Tuyen Trung Truong
We study a family of birational maps of smooth affine quadric 3-folds, {over the complex numbers}, of the form constant, which seems to have some (among many other…