On deformations of quintic and septic hypersurfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • John Christian Ottem
  • Stefan Schreieder

Externe Organisationen

  • University of Oslo
  • Ludwig-Maximilians-Universität München (LMU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)140-158
Seitenumfang19
FachzeitschriftJournal des Mathematiques Pures et Appliquees
Jahrgang135
PublikationsstatusVeröffentlicht - 6 Dez. 2019
Extern publiziertJa

Abstract

An old question of Mori asks whether in dimension at least three, any smooth specialization of a hypersurface of prime degree is again a hypersurface. A positive answer to this question is only known in degrees two and three. In this paper, we settle the case of quintic hypersurfaces (in arbitrary dimension) as well as the case of septics in dimension three. Our results follow from numerical characterizations of the corresponding hypersurfaces. In the case of quintics, this extends famous work of Horikawa who analysed deformations of quintic surfaces.

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On deformations of quintic and septic hypersurfaces. / Ottem, John Christian; Schreieder, Stefan.
in: Journal des Mathematiques Pures et Appliquees, Jahrgang 135, 06.12.2019, S. 140-158.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ottem JC, Schreieder S. On deformations of quintic and septic hypersurfaces. Journal des Mathematiques Pures et Appliquees. 2019 Dez 6;135:140-158. doi: 10.1016/j.matpur.2019.12.013
Ottem, John Christian ; Schreieder, Stefan. / On deformations of quintic and septic hypersurfaces. in: Journal des Mathematiques Pures et Appliquees. 2019 ; Jahrgang 135. S. 140-158.
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AU - Schreieder, Stefan

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