Wahl's conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians

TL;DR

This paper extends the proof of Wahl's conjecture from Grassmannians to symplectic and orthogonal Grassmannians in positive odd characteristics, confirming the conjecture in these cases.

Contribution

It demonstrates that the proof technique for Wahl's conjecture applies to symplectic and orthogonal Grassmannians in odd characteristics, broadening the conjecture's verified scope.

Findings

Wahl's conjecture holds for symplectic Grassmannians in odd characteristics

Wahl's conjecture holds for orthogonal Grassmannians in odd characteristics

The proof by Mehta and Parameswaran extends to these cases

Abstract

It is shown that the proof by Mehta and Parameswaran of Wahl's conjecture for Grassmannians in positive odd characteristics also works for symplectic and orthogonal Grassmannians.