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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2022 · math.AGShow all

7 papers · 2 filters

math.AG2022

Fixed points under pinning-preserving automorphisms of reductive group schemes

Pramod N. Achar, João Lourenço, Timo Richarz +1

In this paper we determine the scheme-theoretic fixed points of pinned reductive group schemes acted upon by a group of pinning-preserving automorphisms. The results are used in a…

math.AG2022

Momentum maps and the Kähler property for base spaces of reductive principal bundles

Daniel Greb, Christian Miebach

We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base,…

math.AG2022

New bounds for the number of connected components of fewnomial hypersurfaces

Frédéric Bihan, Tristan Humbert, Sébastien Tavenas

We prove that the number of connected components of a smooth hypersurface in the positive orthant of defined by a real polynomial with monomials, where $…

math.AG2022

Motivic Vitushkin invariants

Georges Comte, Immanuel Halupczok

We prove the nonarchimedean counterpart of a real inequality involving the metric entropy and measure geometric invariants , called Vitushkin's variations. Our inequality is b…

math.AG2022★ 1 cited

Positivity of minuscule quantum K-theory

Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea +1

We prove that the Schubert structure constants of the quantum -theory ring of any minuscule flag variety or quadric hypersurface have signs that alternate with codimension. We a…

math.AG2022

Monge-Ampère measures for toric metrics on abelian varieties

Walter Gubler, Stefan Stadlöder

Toric metrics on a line bundle of an abelian variety are the invariant metrics under the natural torus action coming from Raynaud's uniformization theory. We compute here the a…