Topics in group schemes and surfaces in positive characteristic

DOI10.1007/S11565-024-00514-8MaRDI QIDQ6592707

Publication date: 26 August 2024

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Automorphisms of surfaces and higher-dimensional varieties (14J50) Group schemes (14L15)

Cites Work

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Quotients of schemes by \(\alpha _p\) or \(\mu _{p}\) actions in characteristic \(p>0\)
Automorphisms of smooth canonically polarized surfaces in positive characteristic
Classical Godeaux surface in characteristic \(p\)
Quotient spaces modulo algebraic groups
Uniruled surfaces of general type
Singularities of quotients by vector fields in characteristic \(p\)
Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
Classification of restricted simple Lie algebras
Canonical models of surfaces of general type in positive characteristic
Vector fields and differential forms on generalized Raynaud surfaces
Enriques' classification of surfaces in char p. III
Bound of automorphisms of surfaces of general type. I
On rational singularities in dimensions \(>2\)
Singularities of multiplicative \(p\)-closed vector fields and global \(1\)-forms of Zariski surfaces
On the group of automorphisms of a function field of genus at least two
On the birational automorphisms of varieties of general type
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces
Vector fields on canonically polarized surfaces
Structure of inseparable extensions
Representability of group functors, and automorphisms of algebraic schemes
Canonical models of surfaces of general type
Abstract derivation and Lie algebras.
Counterexamples of Kodaira vanishing for smooth surfaces of general type in positive characteristic
Actions of \(\mu_p\) on canonically polarized surfaces in characteristic \(p>0\)
Algebraic Surfaces in Positive Characteristic
Algebraic Groups
Fibrations with moving cuspidal singularities
Applications rationnelles séparables dominantes sur une variété de type général
Automorphism scheme of a finite field extension
Pathologies of Modular Algebraic Surfaces
On Isolated Rational Singularities of Surfaces
Pathologies III
Cocommutative Hopf algebras with antipode
Characterizations of Regular Local Rings of Characteristic p
Group schemes of prime order
On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
Further Pathologies in Algebraic Geometry
Restricted Lie Algebras of Characteristic p
Galois Theory of Purely Inseparable Fields of Exponent One
ON -ACTIONS ON K3 SURFACES IN POSITIVE CHARACTERISTIC
𝜇_{𝑝}- and 𝛼_{𝑝}-actions on K3 surfaces in characteristic 𝑝
The structure of Frobenius kernels for automorphism group schemes

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