Normal analytic compactifications of C^2
Pinaki Mondal
TL;DR
This paper surveys the classification of normal analytic compactifications of the complex plane C^2, focusing on cases where the curve at infinity is irreducible, summarizing key structural results in the field.
Contribution
It provides a comprehensive overview of the structure and classification results for normal analytic compactifications of C^2, emphasizing the irreducible curve at infinity case.
Findings
Classification results for compactifications with irreducible curves at infinity
Structural properties of normal analytic compactifications
Summary of key theorems in the literature
Abstract
This is a survey of some results on the structure and classification of normal analytic compactifications of C^2. Mirroring the existing literature, we especially emphasize the compactifications for which the curve at infinity is irreducible.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation