3 papers
math.AG2026
Regions surrounded by parabolas in the plane and trees representing their shapes respecting their natural projection to the line
Naoki Kitazawa
The author has been interested in regions surrounded by real algebraic curves of degree or in the plane. The author is mainly interested in their shapes and combinatorics.…
math.AG2026
Regions surrounded by cylinders of real algebraic manifolds and natural decompositions
Naoki Kitazawa
The author has been interested in regions surrounded by cylinders of real algebraic hypersurfaces and their shapes and polynomials associated to them. Here, we formulate and invest…
math.AG2025
Refined algebraic domains with finite sets in the boundaries respecting differential geometry
Naoki Kitazawa
We are interested in shapes of real algebraic curves in the plane and regions surrounded by them: they are named refined algebraic domains by the author. As characteristic finite s…