Lev A. Borisov a prouvé que la classe de la droite affine est un diviseur de zéro dans l'anneau de Grothendieck des variétés algébriques complexes. Nous améliorons la formule finale en supprimant un facteur.
Lev A. Borisov has shown that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. We improve the final formula by removing a factor.
Accepté le :
Publié le :
Nicolas Martin 1
@article{CRMATH_2016__354_9_936_0, author = {Nicolas Martin}, title = {The class of the affine line is a zero divisor in the {Grothendieck} ring: {An} improvement}, journal = {Comptes Rendus. Math\'ematique}, pages = {936--939}, publisher = {Elsevier}, volume = {354}, number = {9}, year = {2016}, doi = {10.1016/j.crma.2016.05.016}, language = {en}, }
Nicolas Martin. The class of the affine line is a zero divisor in the Grothendieck ring: An improvement. Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 936-939. doi : 10.1016/j.crma.2016.05.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.05.016/
[1] The class of the affine line is a zero divisor in the Grothendieck ring, 2014 | arXiv
[2] Motivic measures and stable birational geometry, Mosc. Math. J., Volume 3 (2003) no. 1, pp. 85-95
[3] The Grothendieck ring of varieties is not a domain, Math. Res. Lett., Volume 9 (2002) no. 4, pp. 493-497
[4] The Pfaffian Calabi–Yau, its mirror, and their link to the Grassmannian G(2, 7), Compos. Math., Volume 122 (2000) no. 2, pp. 135-149
[5] Intégration motivique sur les schémas formels, Bull. Soc. Math. Fr., Volume 132 (2004) no. 1, pp. 1-54
Cité par Sources :
Commentaires - Politique