Les variétés sur le corps à un élément
Soulé, Christophe
HAL, hal-00119512 / Harvested from HAL
Text on HAL
We propose a definition of varieties over the field with one element. These have extensions of scalars to the ring of integers which are varieties in the usual sense. We show that toric varieties can be defined over the field with one element. We also discuss zeta functions for such objects. We give a motivic interpretation of the image of the J-homomorphism defined by Adams. ~ ~ ~ ~
Publié le : 2004-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00119512,
     author = {Soul\'e, Christophe},
     title = {Les vari\'et\'es sur le corps \`a un \'el\'ement},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00119512}
}

Soulé, Christophe. Les variétés sur le corps à un élément. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00119512/