Algebraic Subset of n-dimensional Vector Space on Affine Scheme

Jiaming Luo

2023

Abstract

In this paper, we study the connection between the most basic Hodge theory in compact complex manifold and the affine scheme in algebraic geometry. By introducing the definitions of algebraic subset and affine scheme, the Hodge operator on -dimensional affine space is defined, the ringed space of algebraic subset defined on affine space is constructed, and the proof the Nullstellensatz theorem is obtained.

Paper Citation

in Harvard Style

Luo J. (2023). Algebraic Subset of n-dimensional Vector Space on Affine Scheme. In Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT; ISBN 978-989-758-677-4, SciTePress, pages 538-541. DOI: 10.5220/0012287200003807

in Bibtex Style

@conference{anit23,
author={Jiaming Luo},
title={Algebraic Subset of n-dimensional Vector Space on Affine Scheme},
booktitle={Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT},
year={2023},
pages={538-541},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012287200003807},
isbn={978-989-758-677-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT
TI - Algebraic Subset of n-dimensional Vector Space on Affine Scheme
SN - 978-989-758-677-4
AU - Luo J.
PY - 2023
SP - 538
EP - 541
DO - 10.5220/0012287200003807
PB - SciTePress