Bounds for sectional genera of varieties invariant under Pfaff fields

TL;DR

This paper derives an upper limit for the sectional genus of algebraic varieties in projective spaces that remain invariant under Pfaff fields, advancing understanding in algebraic geometry.

Contribution

It introduces a new upper bound for the sectional genus of invariant varieties under Pfaff fields in projective spaces.

Findings

Established an explicit upper bound for sectional genus.

Applied the bound to specific classes of invariant varieties.

Enhanced theoretical understanding of invariants under Pfaff fields.

Abstract

We establish an upper bound for the sectional genus of varieties which are invariant under Pfaff fields on projective spaces.