Real Fibered Morphisms and Ulrich Sheaves

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.

Minor changes. Added fone figure and one lemma

References in corpus (3)

• The Lax conjecture is true
• On the curvature of the real amoeba
• Hyperbolic polynomials and the Marcus-Spielman-Srivastava theorem

Cited by in corpus (10)

• The separating semigroup of a real curve
• The Chow form of a reciprocal linear space
• Higher Dimensional Fourier Quasicrystals from Lee-Yang Varieties
• Hyperbolic Secant Varieties of M-Curves
• Positively Hyperbolic Varieties, Tropicalization, and Positroids
• Real-fibered morphisms of del Pezzo surfaces and conic bundles
• Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves
• Positive Ulrich Sheaves
• Rational functions with only real periodic points
• Non-existence of hypersurfaces with real fibered logarithmic Gauss map