<p>In this work, we describe the semigroup associated with a non-normal toric surface in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {C}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation> and, consequently, its combinatorial structure. Using this combinatorial description and Newton polyhedra, we give a Whitney stratification for such surfaces, with fewer strata than the stratification induced by the torus action.</p>

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Affine toric surfaces and Whitney stratification

  • A. S. Araújo,
  • T. M. Dalbelo,
  • M. E. Rodrigues Hernandes

摘要

In this work, we describe the semigroup associated with a non-normal toric surface in \(\mathbb {C}^3\) C 3 and, consequently, its combinatorial structure. Using this combinatorial description and Newton polyhedra, we give a Whitney stratification for such surfaces, with fewer strata than the stratification induced by the torus action.