Partial Differential Chow Forms and a Type of Partial Differential Chow varieties

2017/09/07 by Li, Wei
#12H05 #14C05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.02358

Abstract

We first present an intersection theory of partial differential varieties with quasi-generic differential hypersurfaces. Then based on the generic intersection theory, we define the partial differential Chow form for an irreducible partial differential variety V of Kolchin polynomial ω_V(t)=(d+1)t+m\choose m-t+m-s\choose m. And we establish for the partial differential Chow form most of the basic properties of the ordinary differential Chow form. Furthermore, we prove the existence of a type of partial differential Chow varieties.

Related

• Differential Chow Form for Projective Differential Variety
• Intersection Theory in Differential Algebraic Geometry: Generic Intersections and the Differential Chow Form
• Difference Chow Form
• Bertini theorems for differential algebraic geometry
• Computation of Differential Chow Forms for Prime Differential Ideals