F1-schemes and toric varieties
By Anton Deitmar. 2006
67 citations recorded by the source corpus.
This paper contains a loose collection of remarks on F1-schemes. Etale morphisms and universal coverings are introduced. The relation to toric varieties, at least for integral schemes, is clarified.In this paper it is shown that integral F1-schemes of finite type are essentially the same as toric varieties. A description of the F1-zeta function in terms of toric geometry is given. Etale morphisms and universal coverings are introduced.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/226be26bb1224736bb057b088deee3822f92d373
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In Geometry and Topology
- Christian Haesemeyer
- Charles A. Weibel
- Guillermo Cortiñas
- M. Walker
- Jaiung Jun
- B. Keller
- M. Schlichting
In Mathematical Physics
- Charles A. Weibel
- Christian Haesemeyer
- Guillermo Cortiñas
- M. Walker
- Jaiung Jun
- B. Keller
- M. Schlichting
Citations in the corpus
- Lambda-rings and the field with one element (2009, unknown): “For these approaches see the following references: Baez [3], Connes–Consani [13], Connes–Consani–Marcoli [14], Deitmar [19][18][20], Diers [26], Durov [27], Ha-ran [36] [35], Kapranov [38], Kapranov–Smirnov [39], Kurokawa [42][43][44], Kurokawa– Ochiai–Wakayama [45], Smirnov [55], Tate–Voloch [59],…”
- Algebraic Geometry Over Hyperrings (2015, background): “[14]) whereas one expects that SpecZ has an infinite genus (cf.”
- Toric varieties, monoid schemes and $cdh$ descent (2011, methodology): “As observed by Kato [22] and Deitmar [8], the fan associated to a toric variety produces a monoid scheme.”