Kummer's quartics and numerically reflective involutions of Enriques surfaces
نویسندگان
چکیده
منابع مشابه
Kummer’s Quartics and Numerically Reflective Involutions of Enriques Surfaces
A (holomorphic) automorphism of an Enriques surface S is said to be numerically reflective if it acts on the cohomology group H(S,Q) by reflection. We shall show that there are two lattice-types of numerically reflective involutions, and describe one type geometrically in terms of curves of genus 2 and Göpel subgroups of their Jacobians. An automorphism of an Enriques surface S is numerically t...
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There are two types of numerically trivial involutions of an Enriques surface according as their period lattice. One is U(2) ⊥ U(2)-type and the other is U ⊥ U(2)-type. An Enriques surface with an involution of U(2) ⊥ U(2)-type is doubly covered by a Kummer surface of product type, and such involutions are classified again into two types according as the parity of the corresponding Göpel subgro...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2012
ISSN: 0025-5645
DOI: 10.2969/jmsj/06410231