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(16, 6) Configurations and Geometry of Kummer Surfaces in P³
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This monograph studies the geometry of a Summer surface in P³ and of its minimal desingularization, which is a K3 surface (here k is an algebraically closed field of characteristic different from 2). This Kummer surface is a quartic surface with sixteen nodes as its only singularities. These nodes give rise to a configuration of sixteen points and sixteen planes in P³ such that each plane contains exactly six points and each point belongs to exactly six planes (this is called a "(16, 6) configuration"). A Kummer surface is uniquely determined by its set of nodes. Gonzalez Dorrego classifies ...
This monograph studies the geometry of a Summer surface in P³ and of its minimal desingularization, which is a K3 surface (here k is an algebraically closed field of characteristic different from 2). This Kummer surface is a quartic surface with sixteen nodes as its only singularities. These nodes give rise to a configuration of sixteen points and sixteen planes in P³ such that each plane contains exactly six points and each point belongs to exactly six planes (this is called a "(16, 6) configuration"). A Kummer surface is uniquely determined by its set of nodes. Gonzalez Dorrego classifies (16, 6) configurations and studies their manifold symmetries and the underlying questions about finite subgroups of PGL[4(k). She uses this information to give a complete classification of Kummer surfaces with explicit equations and explicit descriptions of their singularities. In addition, the beautiful connections to the theory of K3 surfaces and abelian varieties are studied.
This monograph is a study of the geometry of a Kummer surface in P3 and of its minimal desingularization. The author presents a complete classification of Kummer surfaces with explicit equations and explicit descriptions of their singularities. An excellent text for researchers in this field.
This monograph is a study of the geometry of a Kummer surface in P3 and of its minimal desingularization. The author presents a complete classification of Kummer surfaces with explicit equations and explicit descriptions of their singularities. An excellent text for researchers in this field.