3 problems

Let $\mathbb{k}$ be an algebraically closed field, and let $R$ and $S$ be normal domains finitely generated over $\mathbb{k}$. Set … For a rational exponent, write…

Let $R$ be a polynomial ring over a field and let $I\subseteq R$ be a homogeneous ideal. The Castelnuovo–Mumford regularity of an ideal is denoted by $\operatorname{reg}(I)$. Chand…

Polynomial-type conjecture. We conjecture that $h^0_{I,R}(n)$ is always of polynomial type for general rings.