On the geometry of the Coble-Dolgachev sextic
AbstractIn this paper, we study the intersection of the Coble-Dolgachev sextic with special projective spaces. Let us recall that the Coble-Dolgachev sextic C_6 is the branch divisor of a double cover map. The adjunction of divisors is an involution of Pic^1(X) that lifts to a non-trivial involution. The fixed locus Fix(τ) is the disjoint union of two projective spaces P^4 and P^3 .
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