Simple criteria for higher rational singularities
S\'andor Kov\'acs, Pat Lank, Sridhar Venkatesh
TL;DR
This paper introduces straightforward criteria to identify higher rational singularities in normal complex varieties using the intersection Du Bois complex and the irrationality complex.
Contribution
It provides new, simple conditions for detecting higher rational singularities based on advanced complex algebraic geometry tools.
Findings
Criteria for higher rational singularities are established.
Connections between Du Bois complex and irrationality complex are clarified.
Simplifies the detection process for complex singularities.
Abstract
This work establishes simple criteria for detecting higher rational singularities via the intersection Du Bois complex and the irrationality complex of a normal variety over the complex numbers.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications