When are Zariski chambers numerically determined?
نویسندگان
چکیده
منابع مشابه
Zariski Chambers and Stable Base Loci
In joint work with A. Küronya and T. Szemberg we study certain asymptotic invariants of linear series: the stable base locus and the volume. In particular we are interested in the question how these invariants behave under small perturbations in the Néron-Severi space. We show that both invariants lead to a partition of the big cone into suitable subcones, and that – somewhat surprisingly – the...
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Suppose X is a smooth projective variety defined over an algebraically closed field of characteristic zero and suppose L is a line bundle on X. If x ∈ X the Seshadri constant ǫ(x, L) measures the numerical positivity of L at x. When L is nef ǫ(x, L) carries local geometric information at x, namely it measures which order jets L generates at x asymptotically. When L is not nef, however, ǫ(x, L) ...
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Each Bers slice is a holomorphically embedded copy of Teichmüller space within XC(S). While it follows that BY can be locally described as the common zero locus of finitely many analytic functions on XC(S), it is known that the Bers slice is not a locally algebraic set [DK]—this is used to show that W. Thurston’s skinning map is not a constant function [DK]. We prove a stronger result about the...
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Classically, the notion of total positivity referred to matrices all of whose minors had positive determinants. Lusztig generalized this notion substantially ([L1],[L2],[L3]) introducing the nonnegative part of an arbitrary reductive group, as well as the nonnegative part of a flag variety. Lusztig proved that the latter is always contractible and it has been conjectured to always be homeomorph...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2016
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2015-0087