Resolving toric varieties with Nash blow-ups - Mathematics > Algebraic GeometryReportar como inadecuado




Resolving toric varieties with Nash blow-ups - Mathematics > Algebraic Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: It is a long-standing question whether an arbitrary variety is desingularizedby finitely many normalized Nash blow-ups. We consider this question in thecase of a toric variety. We interpret the normalized Nash blow-up in polyhedralterms, show how continued fractions can be used to give an affirmative answerfor a toric surface, and report on a computer investigation in which over athousand 3- and 4-dimensional toric varieties were successfully resolved.



Autor: Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot, Michael Thaddeus

Fuente: https://arxiv.org/







Documentos relacionados