Topic
Zariski surface
About: Zariski surface is a research topic. Over the lifetime, 3 publications have been published within this topic receiving 13 citations.
Papers
Journal Article•
TL;DR: In this paper, the conditions générales d'utilisation (http://www.compositio.org/conditions) of the agreement with the Foundation Compositio Mathematica are described.
Abstract: © Foundation Compositio Mathematica, 1990, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
7 citations
[...]
TL;DR: In this paper, it was shown that any supersingular Kummer surface is Zariski if p ≥ 1 mod 12, where p is a quotient of the group scheme αp, Kummer surfaces and automorphisms of hyperelliptic curves.
Abstract: We construct Zariski K3 surfaces of Artin invariant 1, 2 and 3 in many characteristics. In particular, we prove that any supersingular Kummer surface is Zariski if p≡1 mod 12. Our methods combine different approaches such as quotients by the group scheme αp, Kummer surfaces, and automorphisms of hyperelliptic curves.
7 citations
TL;DR: In this paper, the authors gave a new method to construct unirational surfaces which may be applied to the following question posed by Zariski in his studies on unirinal surfaces.
Abstract: We give a new method to construct unirational surfaces which may be applied to the following question posed by Zariski in his studies on unirational surfaces. Is any Zariski surface with geometric genus zero rational? Our main result is a negative answer to this question in any characteristic case.
4 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2019 | 1 |
| 2014 | 1 |
| 1990 | 1 |