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pro vyhledávání: '"Nakamaye, Michael"'
This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.
Comment: 7
Comment: 7
Externí odkaz:
http://arxiv.org/abs/2309.16722
Autor:
Fischler, Stéphane, Nakamaye, Michael
Let $G$ be a commutative algebraic group embedded in projective space and $\Gamma$ a finitely generated subgroup of $G$. From these data we construct a chain of algebraic subgroups of $G$ which is intimately related to obstructions to multiplicity or
Externí odkaz:
http://arxiv.org/abs/1209.2354
Autor:
Fischler, Stéphane, Nakamaye, Michael
In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improvement over previous results due to Masser and the first author and our
Externí odkaz:
http://arxiv.org/abs/1205.4088
Autor:
Boyer, Charles P., Nakamaye, Michael
Publikováno v:
Geom.Dedicata 144:141-156,2010
We prove the existence of Sasaki-Einstein metrics on certain simply connected 5-manifolds where until now existence was unknown. All of these manifolds have non-trivial torsion classes. On several of these we show that there are a countable infinity
Externí odkaz:
http://arxiv.org/abs/0903.0152
We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.
Comment: Latex, 38 pages; v.2: fi
Comment: Latex, 38 pages; v.2: fi
Externí odkaz:
http://arxiv.org/abs/math/0607221
Autor:
Nakamaye, Michael, Ratazzi, Nicolas
We establish an improvement of Philippon's zero estimates primarily in the multiplicity setting. The improvement is made possible by a more geometric approach and in particular the use of Seshadri constants.
Comment: 17 pages, final version, acc
Comment: 17 pages, final version, acc
Externí odkaz:
http://arxiv.org/abs/math/0605730
Let X be a smooth complex projective variety of dimension d. It is classical that ample line bundles on X satisfy many beautiful geometric, cohomological, and numerical properties that render their behavior particularly tractable. By contrast, exampl
Externí odkaz:
http://arxiv.org/abs/math/0505054
Autor:
Nakamaye, Michael
This paper studies the Seshadri constant of an ample line bundle at a very general point, seeking a very slight improvement on the result of Ein, Kuchle, and Lazarsfeld. The main point is that couting jets more carefully yields a better result. We ho
Externí odkaz:
http://arxiv.org/abs/math/0403313
The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. We distinguish an open dense subset of the real big cone, called the stable locus, cons
Externí odkaz:
http://arxiv.org/abs/math/0308116
Autor:
Nakamaye, Michael
We examine how the Seshadri constant of an ample line bundle at a very general point of an algebraic surface can carry important global geometric information about the surface. In particular, we obtain a numerical criterion for when a surface admits
Externí odkaz:
http://arxiv.org/abs/math/0301251