Hideo Kojima

collaborators

2 papers

math.AC2024

Remarks on retracts of polynomial rings in three variables in any characteristic

Hideo Kojima, Takanori Nagamine, Riko Sasagawa

Let $A$ be a retract of the polynomial ring in three variables over a field $k$ . It is known that if $char (k) = 0$ or $tr.deg_{k} A \neq = 2$ then $A$ is a polynomial…

math.AG2024

Logarithmic multicanonical systems of smooth affine surfaces of logarithmic Kodaira dimension one

Hideo Kojima

Let $S$ be a smooth affine surface of logarithmic Kodaira dimension one and let $(V, D)$ be a pair of a smooth projective surface $V$ and a simple normal crossing divisor $D$ on $V$ …