Modular Invariants for Lattice Polarized K3 Surfaces

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dc.creatorClingher, Adrian
dc.creatorDoran, Charles F.
dc.date2006-02-07
dc.date.accessioned2026-07-07T07:03:13Z
dc.date.available2026-07-07T07:03:13Z
dc.descriptionWe study the class of complex algebraic K3 surfaces admitting an embedding of H+E8+E8 inside the Neron-Severi lattice. These special K3 surfaces are classified by a pair of modular invariants, in the same manner that elliptic curves over the field of complex numbers are classified by the J-invariant. Via the canonical Shioda-Inose structure we construct a geometric correspondence relating K3 surfaces of the above type with abelian surfaces realized as cartesian products of two elliptic curves. We then use this correspondence to determine explicit formulas for the modular invariants.
dc.description29 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math/0602146
dc.identifierhttp://arxiv.org/abs/math/0602146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108887
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleModular Invariants for Lattice Polarized K3 Surfaces
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