17 citations · 36 across the 14 of their papers we have counts for
13 papers · 1 filter
Degree-Bounded Polynomial Convexity of Circular and Smooth Arcs
Marko Slapar
Let be an integer. We study -polynomial convexity of smooth Jordan arcs in terms of their total absolute curvature $\T(K)$. We prove that every $\cC^2$-smooth Jordan ar…
Polynomial convexity with degree bounds
Marko Slapar
We introduce different notions of polynomial convexity with bounds on degrees of polynomials in . We provide some examples in higher dimensions and show necessary and…
Proper holomorphic curves attached to domains
Barbara Drinovec Drnovsek, Marko Slapar
Let D be a domain in C^n with smooth boundary, of finite 1-type at a point p in the boundary and such that the closure of D has a basis of Stein Runge neighborhoods. Assume that th…
On Normal Forms of Complex Points of codimension 2 submanifolds
Marko Slapar, Tadej Starčič
In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex manifold. Assuming some ex…
Existence results of totally real immersions and embeddings into
Marko Slapar, Rafael Torres
We prove that the existence of totally real immersions of manifolds is a closed property under cut-and-paste constructions along submanifolds including connected sums. We study the…
CR regular embeddings and immersions of compact orientable 4-manifolds into C3
Marko Slapar
We show that a compact orientable 4-manifold M has a CR regular immersion into C3 if and only if both its first Pontryagin class and its Euler characteristic vanish, and has a CR r…