Division Theorems for the Koszul Complex
Qingchun Ji
TL;DR
This paper develops new division theorems for the Koszul complex by extending Skoda's estimate and introduces the use of Skoda triples to generate these theorems, broadening the scope of division results in complex analysis.
Contribution
It presents a twisted version of Skoda's estimate for the Koszul complex and introduces Skoda triples as a method to produce division theorems, generalizing previous results.
Findings
Established a twisted Skoda estimate for the Koszul complex
Derived new division theorems for the Koszul complex
Demonstrated how Skoda triples can generate division theorems
Abstract
We establish a twisted version of Skoda's estimate for the Koszul complex from which we get division theorems for the Koszul complex. This generalizes Skoda's division theorem. We also show how to use Skoda triples to produce division theorems for the Koszul complex.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models