Open AccessMotivic Serre invariants modulo the square of 𝕃-1
Author(s) -
Takehiko Yasuda
Publication year - 2017
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13780
Subject(s) - algorithm , annotation , type (biology) , artificial intelligence , computer science , mathematics , geology , paleontology
Motivic Serre invariants defined by Loeser and Sebag are elements of the Grothendieck ring of varieties modulo L − 1 \mathbb {L}-1 . In this paper, we show that we can lift these invariants to modulo the square of L − 1 \mathbb {L}-1 after tensoring the Grothendieck ring with Q \mathbb {Q} under certain assumptions.