no. 4
Géométrie algébrique
Indecomposable K 1 classes on a Surface and Membrane Integrals
Chen, Xi1 ; Lewis, James D.1  ; Pearlstein, Gregory2
1 Department of Mathematics, 632 Central Academic Building, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
2 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 511-513.

Soit X une surface algébrique projective. Nous rappelons le groupe K, K 1,ind (2) (X) indécomposables et apporter la preuve que les intégrales membranaires sont suffisantes pour détecter ces classes indécomposables.

Let X be a projective algebraic surface. We recall the K-group K 1,ind (2) (X) of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.69
Classification : 14C25, 14C30, 14C35
Chen, Xi 1 ; Lewis, James D. 1 ; Pearlstein, Gregory 2

1 Department of Mathematics, 632 Central Academic Building, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
2 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA 
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     title = {Indecomposable $K_1$ classes on a {Surface} and {Membrane} {Integrals}},
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Chen, Xi; Lewis, James D.; Pearlstein, Gregory. Indecomposable $K_1$ classes on a Surface and Membrane Integrals. Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 511-513. doi : 10.5802/crmath.69. http://www.numdam.org/articles/10.5802/crmath.69/

[1] Chen, Xi; Doran, Charles; Kerr, Matt; Lewis, James D. Normal Functions, Picard-Fuchs Equations, and Elliptic Fibrations on K3 Surfaces, J. Reine Angew. Math., Volume 721 (2016), pp. 43-80 | MR | Zbl

[2] de Jeu, Rob; Lewis, James D. Beilinson’s Hodge conjecture for smooth varieties, with an appendix by Masanori Asakura, J. K-Theory, Volume 11 (2013) no. 2, pp. 243-282 | DOI | Zbl

[3] Kerr, Matt; Lewis, James D.; Müller-Stach, Stefan The Abel-Jacobi map for higher Chow groups, Compos. Math., Volume 142 (2006) no. 2, pp. 374-396 | DOI | MR | Zbl

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