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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2018 Volume 82, Issue 4, Pages 18–52 (Mi im8627)

On a classical correspondence of real K3 surfaces

V. A. Krasnov

P.G. Demidov Yaroslavl State University

Abstract: This paper is devoted to the classical correspondence between real K3 surfaces of degree 8 which are complete intersections of three real quadrics, and real K3 surfaces which are two-sheeted coverings of the corresponding pencils of quadrics with branching along the curves of degenerate quadrics.

Keywords: real K3 surface, real triquadric, pencil of quadrics, two-sheeted covering, deformation class, theta characteristic.

UDC: 512.7

MSC: 14J28, 14P25, 14M10, 14J60

Received: 07.11.2016
Revised: 17.01.2017

DOI: 10.4213/im8627


 English version:
Izvestiya: Mathematics, 2018, 82:4, 662–693

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© Steklov Math. Inst. of RAS, 2025