Convexity and Concavity from Complex Variables to Algebraic Geometry
Giuseppe Tomassini
TL;DR
This paper explores the extension of convexity and concavity concepts from complex analysis to algebraic geometry, presenting initial findings to bridge these mathematical areas.
Contribution
It introduces preliminary results aiming to establish a connection between convexity in complex analysis and algebraic geometry.
Findings
Initial results on convexity in algebraic geometry
Potential framework for complex-geometry correspondence
Foundations for future research in the area
Abstract
The topics of Convexity and Concavity and Envelopes are central in Complex Analysis and extensively investigated. The aim of this paper is to find a possible counterpart in Algebraic Geometry. The article presents preliminary results on this topic,
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Taxonomy
TopicsMathematics and Applications · Point processes and geometric inequalities · Advanced Banach Space Theory