A Nobile-like theorem for jet schemes of hypersurfaces

Abstract:

We give an explicit set of generators for the semigroup of the Gröbner degeneration of a toric ideal. This set of generators is used to study algebraic properties of the semigroup it generates: approximation of semigroups, non-preservation of saturation, Betti elements, uniqueness of presentations, and Möbius functions.

Keywords: Algebraic geometry||Birational geometry||Arcs and motivic integration

MSC: 14E18 (14B05 14F10)

Journal: Osaka Journal of Mathematics

ISSN: 0030-6126

Year: 2023

Volume: 60

Number: 3

Pages: 555-569

MR Number: 4612503

URL: https://link.springer.com/article/10.1007/s00233-023-10351-4

DOI: 10.1007/s00233-023-10351-4