---
- CiteKey: "Bor18"
- Type: report
- Title: "Class of the affine line is a zero divisor in the Grothendieck ring," 
- Author: "Borisov, Lev;"  
- Publisher: "arXiv,"
- Year: 2015 
- Collections: "Syllabus; Talbot 2022; Talbot 2022,"
- Keywords: "14A10"; "Mathematics - Algebraic Geometry"
---

# Class of the affine line is a zero divisor in the Grothendieck ring

## Meta

- **URL**: <http://arxiv.org/abs/1412.6194>
- **URI**: <http://zotero.org/users/1049732/items/H8MCT5GS>
- **Local File**: [arXiv.org Snapshot](file:///home/zack/Zotero/storage/I5P9382P/1412.html); [Borisov - 2015 - Class of the affine line is a zero divisor in the .pdf](file:///home/zack/Zotero/storage/CSELYM2S/Borisov%20-%202015%20-%20Class%20of%20the%20affine%20line%20is%20a%20zero%20divisor%20in%20the%20.pdf)
- **Open in Zotero**: [Zotero](zotero://select/library/items/H8MCT5GS)

## Abstract

We show that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. The argument is based on the Pfaffian-Grassmannian double mirror correspondence.

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## Extracted Annotations