Surfaces of Albanese general type and the Severi conjecture
نویسندگان
چکیده
منابع مشابه
Surfaces of Albanese General Type and the Severi Conjecture
In 1932 F. Severi claimed, with an incorrect proof, that every smooth minimal pro-jective surface S such that the bundle Ω 1 S is generically generated by global sections satisfies the topological inequality 2c 2 1 (S) ≥ c2(S). According to Enriques-Kodaira classification, the above inequality is easily verified when the Kodaira dimension of the surface is ≤ 1, while for surfaces of general typ...
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We give many examples of surfaces of general type with pg = 0 for which Bloch’s conjecture holds, for all values of K2 6= 9. Our surfaces are equipped with an involution. Let S be a smooth complex projective surface with pg(S) = 0. Bloch’s conjecture states that the Albanese map A0(S)0 → Alb(S) is an isomorphism, where A0(S)0 is the Chow group of 0-cycles of degree 0 on S. It is known for all s...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2003
ISSN: 0025-584X,1522-2616
DOI: 10.1002/mana.200310115