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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2013 · math.AGShow all

18 papers · 2 filters

math.AG2013

Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties

Huayi Chen, Atsushi Moriwaki

In this paper, we study obstructions to the Dirichlet property by two approaches: density of non-positive points and functionals on adelic R-divisors. Applied to the algebraic dyna…

math.AG2013

Symplectic resolutions for conical symplectic varieties

Michel Brion, Baohua Fu

We introduce the notion of a conical symplectic variety, and show that any symplectic resolution of such a variety is isomorphic to the Springer resolution of a nilpotent orbit in…

math.AG2013★ 2 cited

Secondary characteristic classes and the Euler class

Aravind Asok, Jean Fasel

We discuss secondary (and higher) characteristic classes for algebraic vector bundles with trivial top Chern class. We show that if X is a smooth affine scheme of dimension d over…

math.AG2013★ 31 cited

Expected topology of random real algebraic submanifolds

Damien Gayet, Jean-Yves Welschinger

Let X be a smooth complex projective manifold of dimension n equipped with an ample line bundle L and a rank k holomorphic vector bundle E. We assume that 0< k <=n, that X, E and L…

math.AG2013★ 5 cited

Comparing Euler classes

Aravind Asok, Jean Fasel

We establish the equality of two definitions of an Euler class in algebraic geometry: the first definition is as a "characteristic class" with values in Chow-Witt theory, while the…

math.AG2013★ 27 cited

Vanishing sequences and Okounkov bodies

Sébastien Boucksom, Alex Küronya, Catriona Maclean +1

We define and study the vanishing sequence along a real valuation of sections of a line bundle on a projective variety. Building on previous work of the first author with Huayi Che…