24 citations · 36 across the 6 of their papers we have counts for
6 papers
Most -polytopes are not normal
Santiago Morales
We prove that the proportion of -equivalence classes of -dimensional -polytopes that are normal tends to zero at least at a double exponential rate as .…
There are matroid toric ideals without quadratic Gröbner bases
Jesús A. De Loera, Luis Ferroni, Santiago Morales +1
Our paper shows that if a matroid contains the Fano plane or its dual as a minor, then its toric ideal does not have any quadratic Gröbner basis. More than 25 years ago, Hibi, Herz…
Complete proper minimal surfaces in convex bodies of (II): The behavior of the limit set
Francisco Martin, Santiago Morales
Let be a regular strictly convex bounded domain of , and consider a regular Jordan curve . Then, for each , we obtain the existence of a…
Complete proper minimal surfaces in convex bodies of
Francisco Martin, Santiago Morales
Consider a convex domain B of space. We prove that there exist complete minimal surfaces which are properly immersed in B. We also demonstrate that if D and D' are convex domains w…
On the existence of a proper minimal surface in with the conformal type of a disk
Santiago Morales
The main goal of this paper is to show a counterexample to the following conjecture: {\bf Conjecture} [Meeks, Sullivan]: If is a complete proper minimal immer…
A complete bounded minimal cylinder in R^3
Francisco Martin, Santiago Morales
In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R^3. In this paper we generalize the techniques used by Nadirashvili to obtain new ex…