Can I read On irrationality of hypersurfaces In $\mathbf{P}^{n+1}$ on EtoBox?

On irrationality of hypersurfaces In $\mathbf{P}^{n+1}$ by Yang, Ruijie is a scholarly article available to read on EtoBox.

What is On irrationality of hypersurfaces In $\mathbf{P}^{n+1}$ about?

In this note, we study various measures of irrationality for hypersurfaces in projective spaces which were recently proposed by Bastianelli, De Poi, Ein, Lazarsfeld and Ullery. In particular, we answer the question raised by Bastianelli that if $X \subset P^{n+1}$ is a very general smooth hypersurface of dimension $n$ and degree $d\geq 2n+2$, then $\text{stab.irr}(X)=\text{uni.irr}(X)=d-1$. As a corollary, we prove that $\text{irr}(X\times P^{m})=\text{irr}(X)$ for any integer $m\geq 1$.

Author

Yang, Ruijie

Published

2018

Language

EN