Real Fibered Morphisms and Ulrich Sheaves

TL;DR

This paper explores real fibered morphisms in algebraic geometry, establishing their connection to Ulrich sheaves with positive definite forms, relevant to real hyperbolic varieties.

Contribution

It introduces and analyzes real fibered morphisms and links them to Ulrich sheaves with positive definite bilinear forms, advancing understanding of hyperbolic varieties.

Findings

Real fibered morphisms are characterized and studied.

A connection between these morphisms and Ulrich sheaves with positive definite forms is established.

Implications for the study of real hyperbolic hypersurfaces are discussed.

Abstract

In this paper we define and study real fibered morphisms. Such morphisms arise in the study of real hyperbolic hypersurfaces in projective space and other hyperbolic varieties. We show that real fibered morphisms are intimately connected to Ulrich sheaves admitting positive definite symmetric bilinear forms.