On the Positivity of the Products of Positive Primitive Forms
Abstract
We study the positivity of the product of two positive primitive n-forms whose restrictions to every Lagrangian subspace are nonzero. We prove that in dimensions at most six, the positivity of the product is guaranteed, while in higher dimensions, counterexamples are constructed. This answers Question 2.11 in [1]. The main content of the proof is generated by ChatGPT 5.6 and verified by the author.
Disclosure
“present such criteria and give a positive answer in dimensions at least 60 and a negative answer in dimension at most 6 to Question 2.11. The proof is generated by ChatGPT 5.6 and verified by the author. This paper is organized as follows: in Section 2, we give the definitions and summarize”
PDF page 1
- Classification
- Substantial proof generation
- Multiplier
- 10
- Verified
Structural counts
Pages 15 pdf
Theorems 5 source
Lemmas 6 source
Propositions 5 source
Corollaries 2 source
Definitions 0 source
Displayed equations 108 source
Bibliography entries 5 source
Appendix pages 0 estimated
Count notes
- Source counts use the expanded primary TeX file On_the_Positivity_of_the_Products_of_Positive_Primitive_Forms.tex.
- Appendix pages include the first PDF page with an explicit Appendix heading through the final page.