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- Schottky_form abstract "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) of the two genus 4 theta functions of the two 16-dimensional even unimodular lattices and that its divisor of zeros is irreducible. Poor & Yuen (1996) showed that it generates the 1-dimensional space of level 1 genus 4 weight 8 Siegel cusp forms.Ikeda showed that the Schottky form is the image of the Dedekind Delta function under the Ikeda lift.".
- Schottky_form wikiPageExternalLink en.
- Schottky_form wikiPageExternalLink purl?GDZPPN002160641.
- Schottky_form wikiPageID "44460612".
- Schottky_form wikiPageLength "2428".
- Schottky_form wikiPageOutDegree "8".
- Schottky_form wikiPageRevisionID "653916463".
- Schottky_form wikiPageWikiLink Abelian_variety.
- Schottky_form wikiPageWikiLink Category:Automorphic_forms.
- Schottky_form wikiPageWikiLink Ikeda_lift.
- Schottky_form wikiPageWikiLink Jacobian_variety.
- Schottky_form wikiPageWikiLink Mathematics.
- Schottky_form wikiPageWikiLink Siegel_modular_form.
- Schottky_form wikiPageWikiLink Siegel_upper_half-space.
- Schottky_form wikiPageWikiLink Theta_constant.
- Schottky_form wikiPageWikiLinkText "Schottky form".
- Schottky_form authorlink "Friedrich Schottky".
- Schottky_form first "Friedrich".
- Schottky_form last "Schottky".
- Schottky_form wikiPageUsesTemplate Template:Citation.
- Schottky_form wikiPageUsesTemplate Template:Distinguish.
- Schottky_form wikiPageUsesTemplate Template:Harvs.
- Schottky_form wikiPageUsesTemplate Template:Harvtxt.
- Schottky_form year "1888".
- Schottky_form year "1903".
- Schottky_form subject Category:Automorphic_forms.
- Schottky_form hypernym J.
- Schottky_form type Person.
- Schottky_form type Thing.
- Schottky_form comment "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).".
- Schottky_form label "Schottky form".
- Schottky_form differentFrom Prime_form.
- Schottky_form sameAs Q18588931.
- Schottky_form sameAs m.012brqk5.
- Schottky_form sameAs Schottkys_form.
- Schottky_form sameAs Q18588931.
- Schottky_form wasDerivedFrom Schottky_form?oldid=653916463.
- Schottky_form isPrimaryTopicOf Schottky_form.