TY - JOUR
T1 - Differential forms on arithmetic jet spaces
AU - Borger, James
AU - Buium, Alexandru
PY - 2011/6
Y1 - 2011/6
N2 - We study derivations and differential forms on the arithmetic jet spaces of smooth schemes, relative to several primes. As applications, we give a new interpretation of arithmetic Laplacians, and we discuss the de Rham cohomology of some specific arithmetic jet spaces, especially arithmetic jet spaces of linear tori, elliptic curves, and Kummer surfaces.
AB - We study derivations and differential forms on the arithmetic jet spaces of smooth schemes, relative to several primes. As applications, we give a new interpretation of arithmetic Laplacians, and we discuss the de Rham cohomology of some specific arithmetic jet spaces, especially arithmetic jet spaces of linear tori, elliptic curves, and Kummer surfaces.
UR - http://www.scopus.com/inward/record.url?scp=79957543709&partnerID=8YFLogxK
U2 - 10.1007/s00029-010-0054-7
DO - 10.1007/s00029-010-0054-7
M3 - Article
SN - 1022-1824
VL - 17
SP - 301
EP - 335
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
IS - 2
ER -