Geodesic
Stable maps and Chow groups
Documenta mathematica, Tome 18 (2013), pp. 507-517
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According to the Bloch–Beilinson conjectures, an automorphism of a K3 surface X that acts as the identity on the transcendental lattice should act trivially on CH2(X). We discuss this conjecture for symplectic involutions and prove it in one third of all cases. The main point is to use special elliptic K3 surfaces and stable maps to produce covering families of elliptic curves on the generic K3 surface that are invariant under the involution.
DOI : 10.4171/dm/407
Classification : 14J28, 14J50 
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     author = {M. Kemeny and D. Huybrechts},
     title = {Stable maps and {Chow} groups},
     journal = {Documenta mathematica},
     pages = {507--517},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/407},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/407/}
}
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M. Kemeny; D. Huybrechts. Stable maps and Chow groups. Documenta mathematica, Tome 18 (2013), pp. 507-517. doi: 10.4171/dm/407

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