8 papers
Unobstructedness of affine Gorenstein terminal toric fourfolds
Matej Filip, Aljaž Zalar
We prove that every affine terminal Gorenstein toric variety of dimension at most four is unobstructed. In dimension four, the obstruction space need not vanish; instead, we determ…
Cyclic polynomials in Dirichlet-type Spaces of the unit bidisk
Rajkamal Nailwal, Aljaž Zalar
For we consider the scale of function spaces, namely the Dirichlet-type space consisting of holomorphic functions on the unit bidisk , $f…
Maximal signed volume for (multivariate) supermodular quasi-copulas
Matjaž OmladiÄ, Martin Vuk, Aljaž Zalar
Copulas are the primary tool for dependence modeling in statistics, and quasi-copulas are their essential companions. The latter appear, say, as infima or suprema of sets of copula…
Extreme mass distributions for quasi-copulas
Matjaž OmladiÄ, Martin Vuk, Aljaž Zalar
A recent survey, nicknamed "Hitchhiker's Guide", J.J. Arias-Garcıa, R. Mesiar, and B. De Baets, A hitchhiker's guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has…
Constructive approach to the truncated moment problem on reducible cubic curves: Hyperbolic type relations
Seonguk Yoo, Aljaž Zalar
In this paper, we solve constructively the bivariate truncated moment problem (TMP) of even degree on reducible cubic curves, where the conic part is a hyperbola. According to the…
Cross-positive linear maps, positive polynomials and sums of squares
Igor Klep, Klemen Šivic, Aljaž Zalar
A linear map between matrix spaces is called cross-positive if it is positive on orthogonal pairs of positive semidefinite matrices in the sense that $\langle U,V\rang…