Non-commutative projective Calabi-Yau schemes
Atsushi Kanazawa
TL;DR
This paper constructs the first known examples of non-commutative projective Calabi-Yau schemes, expanding the understanding of non-commutative algebraic geometry and Calabi-Yau structures.
Contribution
It introduces the first non-trivial non-commutative projective Calabi-Yau schemes following Artin and Zhang's framework.
Findings
First examples of non-commutative projective Calabi-Yau schemes
Advances the classification of non-commutative algebraic structures
Provides new tools for non-commutative geometry
Abstract
The objective of the present article is to construct the first examples of (non-trivial) non-commutative projective Calabi-Yau schemes in the sense of Artin and Zhang.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Nonlinear Waves and Solitons