A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3

1971/06/30 by I. I Pjateckiĭ-Šapiro, I. R. Šafarevič · 6 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Mathematics #Type (biology) #Pure mathematics #Algebraic number #Algebraic surface #Algebra over a field #Combinatorics #Mathematical analysis #Geology

paper · doi:10.1070/im1971v005n03abeh001075

openalex publication_date 1971/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/12

Abstract

In this paper it is proved that an algebraic surface of type K3 is uniquely determined by prescribing the integrals of its holomorphic differential forms with respect to a basis of cycles of the two-dimensional homology group, if the homology class of a hyperplane section is distinguished.

Citations

• Discrete Groups Generated by Reflections

Cited by

• Families of Lattice Polarized K3 Surfaces with Monodromy
• Moduli spaces of K3 surfaces and complex ball quotients
• Hyperbolic reflection groups
• The Tate conjecture for K3 surfaces in odd characteristic
• Automorphisms and autoequivalences of generic analytic K3 surfaces
• K3 surface [wikipedia]