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Towards a problem in deformations of polarized algebraic K3 surfaces

Published online by Cambridge University Press:  22 January 2016

D. Comenetz
D. Comenetz*
Affiliation:
University of Massachusetts at Boston
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A nonsingular algebraic surface V is called a K3 surface if i) 1 = i.e. a canonical divisor Kv on V is linearly equivalent to zero; and ii) . When the characteristic is zero, condition ii) is equivalent to ii)′ q = dimension of the Albanese variety of V = 0, and always ii) implies ii)′ as in fact ≥ q ≥ 0, but in non-zero characteristic it can happen that > q ([6], [15]). When ii)′ is true, the algebraic and linear equivalences of divisors coincide on V, because of the duality between Picard and Albanese varieties of V, [8].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 54 , July 1974 , pp. 79 - 121
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

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