# On jet schemes of pfaffian ideals

## TL;DR

This paper investigates the algebraic properties of jet schemes associated with pfaffian ideals, revealing conditions for their irreducibility and enhancing understanding of their geometric and algebraic structure.

## Contribution

It provides new results on the algebraic structure of jet schemes of pfaffian varieties and identifies conditions for their irreducibility.

## Key findings

- Determined conditions for irreducibility of jet scheme varieties
- Analyzed algebraic properties of jet scheme ideals of pfaffian varieties
- Enhanced understanding of the geometric information carried by jet schemes

## Abstract

Jet schemes and arc spaces received quite a lot of attention by researchers after their introduction, due to J. Nash, and established their importance as an object of study in M. Kontsevich's motivic integration theory. Several results point out that jet schemes carry a rich amount of geometrical information about the original object they stem from, whereas, from an algebraic point of view, little is know about them. In this paper we study some algebraic properties of jet schemes ideals of pfaffian varieties and we determine under which conditions the corresponding jet scheme varieties are irreducible.