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Titlebook: Rationality of Varieties; Gavril Farkas,Gerard van der Geer,Lenny Taelman Conference proceedings 2021 The Editor(s) (if applicable) and Th

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Rationality of Varieties978-3-030-75421-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
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The Igusa Quartic and the Prym Map, with Some Rational Moduli,y defines a map . of degree 36, with fibre the configuration of 36 ’double-six’ sets of lines of a cubic surface. We prove that . is birational. This provides a geometric description of .. Finally we describe the relations between the different moduli spaces considered and prove that some, including ., are rational.
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On the Image of the Second ,-adic Bloch Map,ield, namely the second algebraic representative, whose rational Tate modules model canonically the third .-adic cohomology groups of the variety for all primes .. In addition, there exists a rational correspondence inducing these identifications. In the case of a geometrically rationally chain conn
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