Open Access𝔸¹-equivalence of zero cycles on surfaces
Author(s) -
Yi Zhu
Publication year - 2018
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/tran/7178
Subject(s) - algorithm , conjecture , annotation , mathematics , zero (linguistics) , equivalence (formal languages) , dimension (graph theory) , artificial intelligence , computer science , combinatorics , discrete mathematics , philosophy , linguistics
In this paper, we study A 1 \mathbb {A}^1 -equivalence classes of zero cycles on open algebraic surfaces. We prove the logarithmic version of Mumford’s theorem on zero cycles. We also prove that the log Bloch conjecture holds for surfaces with log Kodaira dimension − ∞ -\infty .