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The Kummer extensions in this case also include biquadratic extensions and more general multiquadratic extensions. When K has characteristic 2, there are no such Kummer extensions. Taking n = 3, there are no degree 3 Kummer extensions of the rational number field Q, since for three cube roots of 1 complex numbers are required.
In algebraic geometry, a Kummer quartic surface, first studied by Ernst Kummer , is an irreducible nodal surface of degree 4 in with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variety of a smooth hyperelliptic curve of genus 2; i.e. a quotient of the Jacobian by the Kummer involution ...
The minimal resolution of this singular surface may also be called a Kummer surface; that resolution is a K3 surface. When A is the Jacobian of a curve of genus 2, Kummer showed that the quotient A / ( ± 1 ) {\displaystyle A/(\pm 1)} can be embedded into P 3 {\displaystyle \mathbf {P} ^{3}} as a quartic surface with 16 nodes .
Kate Middleton may have shared a glimpse into family road trips with Prince George, Princess Charlotte and Prince Louis during her latest royal outing. The Princess of Wales, 43, made a surprise ...
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Travis Hunter will arrive at the NFL's annual scouting combine listed as a cornerback. Hunter's emergence as potentially the top defensive back and the top receiver in this year's draft class has ...
Soal moved to a more statistical and controlled approach, firstly by conducting an experiment in which up to a few hundred persons participated at one time. [5] This involved Soal and a small group of agents enacting a scenario, playing with a certain object, reciting a poem, and so on, which the participants, situated across Great Britain and other countries, were required, at the same time ...
It's no secret that Trader Joe's is a haven of savory dishes, sweet eats, snacks, and seasonal treats–and appetizers are no exception.. With so many options to consider–from hummus to mac-and ...