Universal stratifications and a Bertini-type theorem
نویسندگان
چکیده
منابع مشابه
A Non-commutative Bertini Theorem
We prove a version of the classical ‘generic smoothness’ theorem with smooth varieties replaced by non-commutative resolutions of singular varieties. This in particular implies a non-commutative version of the Bertini theorem.
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Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X . We prove that for elements g in a dense open subset of G, the sheaf Tor i (E , gF) vanishes for all i > 0. When E and F are structure sheaves of smooth subschemes of X in characteristic zero, this follows from the Kleiman–Bertini theorem; our result has no smoothness hypotheses on the...
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چکیده ندارد.
On the Theorem of Bertini for Local Domains.
v1(°'(t), we obtain a system of linear equations whose solution is clearly xi = x,(°'. It follows that a set of forcing functions which minimize G subject to the linear equations of (2.1), together with the original constraints, yields a value of G which is at most G(x1(P)(T), . . . , xv(z)(T)). The general result follows inductively. This monotonicity is not surprising, since we are using the ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2012
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.07.024