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Quotient of K3 surface: complex vs positive characteristic

Let $f: X \to X$ be a non-symplectic automorphism of finite order of complex projective K3 surface $X$. (Recall: Non-symplectic means that the induced action on $H(X,K_X)=H^0(X, \Omega_X^2)$ is not ...
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112 views

Irregularity of surfaces for dominant maps

I have a question about an argument in the proof of Lemma 1.2.(1) in Quotients of K3 surfaces modulo involutions by D. Q. Zhang: Let Let $(X, \sigma)$ be X be a smooth projective K3 surface with an ...
1 vote
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219 views

Quotient of K3 surfaces by non-symplectic automorphism of finite order

Let $X$ be a $K3$ surface and $f: X \to X$ a non-symplectic morphism (ie non symplectic in sense of that that the induced action on $H(X,K_X=H^0(X, \Omega_X^2)$ is not trivial) of finite order. ...
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Quotients of K3 surfaces vs cyclic covers

Let $X$ be an algebraic K3 surface (for sake of simplicity, with base field of char $\neq 2$) and $f: X \to X$ a non-symplectic morphism (i.e. non-symplectic in sense of that that the induced action ...