scholarly journals Enriques surfaces with finite automorphism group in positive characteristic

2019 ◽  
pp. 592-649 ◽  
Author(s):  
Gebhard Martin
Keyword(s):  
Automorphism Group ◽  
Positive Characteristic ◽  
Enriques Surfaces

scholarly journals ON ORDINARY ENRIQUES SURFACES IN POSITIVE CHARACTERISTIC

2020 ◽  
pp. 1-14
Author(s):  
ROBERTO LAFACE ◽  
SOFIA TIRABASSI
Keyword(s):  
Positive Characteristic ◽  
Enriques Surfaces

Abstract We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.

scholarly journals Arithmetic moduli and lifting of Enriques surfaces

2015 ◽  
Vol 2015 (706) ◽  
Author(s):  
Christian Liedtke
Keyword(s):  
Complete Intersection ◽  
Moduli Space ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Double Cover ◽  
Global Structure ◽  
Enriques Surface ◽  
Enriques Surfaces

AbstractWe construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in ℙ

scholarly journals Automorphism Groups of Certain Enriques Surfaces

2021 ◽  
Author(s):  
Simon Brandhorst ◽  
Ichiro Shimada
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Rational Curves ◽  
Elliptic Fibrations ◽  
Enriques Surfaces

AbstractWe calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general n-nodal Enriques surfaces and very general cuspidal Enriques surfaces. We also describe the action of the automorphism group on the set of smooth rational curves and on the set of elliptic fibrations.

scholarly journals On the automorphism group of a symplectic half-flat 6-manifold

2019 ◽  
Vol 31 (1) ◽  
pp. 265-273
Author(s):  
Fabio Podestà ◽  
Alberto Raffero
Keyword(s):  
Automorphism Group ◽  
Lie Algebra ◽  
Group Action ◽  
Cohomogeneity One ◽  
Cohomogeneity One Action

Abstract We prove that the automorphism group of a compact 6-manifold M endowed with a symplectic half-flat {\mathrm{SU}(3)} -structure has Abelian Lie algebra with dimension bounded by {\min\{5,b_{1}(M)\}} . Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on {T\mathbb{S}^{3}} which are invariant under a cohomogeneity one action of {\mathrm{SO}(4)} .

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