8 papers
-actions of type
Ruben A. HIdalgo, Maximiliano Leyton-Alvarez
A -action of type , where are integers, is a pair where is a -dimensional compact complex manifold, $N \cong {…
On a Computational Approach to the Nash Blowup Problem
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Ãlvarez +2
In this paper we describe the implementation that led to the counterexamples to the Nash blowup conjectures recently discovered by the authors. We also provide new examples of tori…
Nash blowup fails to resolve singularities in dimensions four and higher
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Ãlvarez +1
In this paper we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension four or higher over an algebraic…
Non-normalized Nash blowup fails to resolve singularities in dimension three
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Ãlvarez +1
In this paper we show that iterating (non-normalized) Nash blowups does not necessarily resolve the singularities of algebraic varieties of dimension three over fields of character…
Jet Schemes, Newton Polygons and Continued Fractions
Ghadi Abdallah, Maximiliano Leyton-Ãlvarez, Bassam Mourad +1
We study jet schemes of Newton non-degenerate plane curve singularities. We identify a subgraph of the graph of jet components and show that it can be constructed from walks on the…
Characteristic-free normalized Nash blowup of toric varieties
Federico Castillo, Daniel Duarte, Maximiliano Leyton-Ãlvarez +1
We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. A…