The canonical strip phenomenon for complete intersections in homogeneous spaces

TL;DR

This paper proves that a refined version of Golyshev's canonical strip hypothesis applies to the Hilbert polynomials of complete intersections within rational homogeneous spaces, advancing understanding in algebraic geometry.

Contribution

It establishes the validity of a refined canonical strip hypothesis for a broad class of algebraic varieties, namely complete intersections in rational homogeneous spaces.

Findings

The refined hypothesis holds for these complete intersections.

The result extends previous conjectures in algebraic geometry.

Provides new insights into the distribution of roots of Hilbert polynomials.

Abstract

We show that a refined version of Golyshev's canonical strip hypothesis does hold for the Hilbert polynomials of complete intersections in rational homogeneous spaces.