Stable base loci of linear series

By M. Nakamaye. 2000

100 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f971dacbde0d8aa74b3dfe2774a007aaeac18b42

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Comparing numerical dimensions (2011, methodology): “This approach to invariants was first considered in [Nakamaye 2000] and was studied systematically in [Ein et al.”
Zariski chambers, volumes, and stable base loci (2003, methodology): “In this section we study stable base loci as considered recently by Nakamaye [13], [14].”
Geometric consistency of Manin's conjecture (2018, background): “Furthermore [Nak00] shows that each component Bd of B+(L) satisfies a(Bd, L|Bd) = ∞.”
KAWA lecture notes on the Kähler-Ricci flow (2015, methodology): “3], and this in turn equals Null(c1(D)) thanks to Nakamaye’s Theorem [52].”
Kähler currents and null loci (2013, background): “Let us also note that in the case when X is projective and [ω0] is a rational class, the fact that no singularities develop outside Null(α) follows from the work of Tian-Zhang [54], together with Nakamaye’s result [33].”
On the hyperbolicity of general hypersurfaces (2016, background): “, N}, by Nakamaye’s theorem on the augmented base locus [44], and the definition of EJ , one obtains that EJ is precisely the augmented base locus B+(q ∗ 1Q|YJ ) of q ∗ 1Q|YJ .”
The augmented base locus of real divisors over arbitrary fields (2013, methodology): “22 (2013), 201-248 [5] S. Cacciola, A. Felice Lopez; Nakamaye’s theorem on log canonical pairs. arXiv:1303.7156.”
On the Kähler-Ricci Flow on Projective Manifolds of General Type (2006, unknown): “2 It was proved in [14] that if [L] is nef.”
Limits of Calabi–Yau metrics when the Kähler class degenerates (2007, background): “f L, B +(L), to be the stable base locus of L− εHfor any H ample divisor and any ε>0 small enough rational number. This deﬁnition is well-posed (see Lemma 10.3.1 in [L]) and a theorem of Nakamaye ([N], [L]) says that B +(L) is equal to the null locus of L, that is the union of all positive-dimens”