Fourfolds

TL;DR

This paper introduces a novel non-constructive method for obtaining algebraic cycles on 4-folds, contrasting with traditional approaches and highlighting new techniques in algebraic geometry.

Contribution

It presents a new multi-step non-constructive approach to algebraic cycles on 4-folds, expanding the toolkit beyond classical methods.

Findings

Demonstrates a non-purely-constructive method for algebraic cycles

Provides an example involving 4-folds illustrating the method

Contrasts the new approach with traditional constructions

Abstract

We have found a "non-purely-constructive" method of acquiring algebraic cycles involving multiple steps. This note tries to present the main idea in the last step by concentrating on an example of 4-folds. The method demonstrates a contrast to traditional constructions.