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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2016 · math.AGShow all

6 papers · 2 filters

math.AG2016★ 1 cited

Hyperkahler manifolds from the Tits-Freudenthal square

Atanas Iliev, Laurent Manivel

We suggest a way to associate to each Lie algebra of type G2, D4, F4, E6, E7, E8 a family of polarized hyperkahler fourfolds, constructed as parametrizing certain families of cycle…

math.AG2016★ 11 cited

Cycles, derived categories, and rationality

Asher Auel, Marcello Bernardara

Our main goal is to give a sense of recent developments in the (stable) rationality problem from the point of view of unramified cohomology and 0-cycles as well as derived categori…

math.AG2016★ 5 cited

Infinite algebraic subgroups of the real Cremona group

Maria Fernanda Robayo, Susanna Zimmermann

We give the classification of the maximal infinite algebraic subgroups of the real Cremona group of the plane up to conjugacy and present a parametrisation space of each conjugacy…

math.AG2016★ 23 cited

Orbifold Stability and Miyaoka-Yau Inequality for minimal pairs

Henri Guenancia, Behrouz Taji

After establishing suitable notions of stability and Chern classes for singular pairs, we use Kähler-Einstein metrics with conical and cuspidal singularities to prove the slope sem…

math.AG2016★ 4 cited

Haas' theorem revisited

Benoît Bertrand, Erwan Brugallé, Arthur Renaudineau

Haas' theorem describes all partchworkings of a given non-singular plane tropical curve giving rise to a maximal real algebraic curve. The space of such patchworkings is natura…

math.AG2016★ 9 cited

Motivic Realizations of Singularity Categories and Vanishing Cycles

A. Blanc, M. Robalo, B. Töen +1

In this paper we establish a precise comparison between vanishing cycles and the singularity category of Landau-Ginzburg models over a complete discrete valuation ring. By using no…