Incompressibility of Generic Torsors of Norm Tori

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Incompressibility of Generic Torsors of Norm Tori

Let p be a prime integer, F a field of characteristic not p, T the norm torus of a degree p extension field of F , and E a T -torsor over F such that the degree of each closed point on E is divisible by p (a generic T -torsor has this property). We prove that E is p-incompressible. Moreover, all smooth compactifications of E (including those given by toric varieties) are p-incompressible. The m...

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2014

ISSN: 1072-3374,1573-8795

DOI: 10.1007/s10958-014-1857-4