Schottky form

id: schottky-form-291-12512690
title: Schottky form
text: In mathematics, the Schottky form or Schottky's invariant is a Siegel cusp form J of degree 4 and weight 8, introduced by Friedrich Schottky (1888, 1903) as a degree 16 polynomial in the Thetanullwerte of genus 4. He showed that it vanished at all Jacobian points (the points of the degree 4 Siegel upper half-space corresponding to 4-dimensional abelian varieties that are the Jacobian varieties of genus 4 curves). Igusa (1981) showed that it is a multiple of the difference θ4(E8 ⊕ E8) − θ4(E16) o
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Schottky_form
date created:
date modified: 2020-04-18T13:45:13Z
main entity: {"identifier":"Q18588931","url":"https://www.wikidata.org/entity/Q18588931"}
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fields total: 13
integrity: 13

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