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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2019 · math.AGShow all

8 papers · 2 filters

math.AG2019★ 7 cited

Le problème de la schématisation de Grothendieck revisité

Bertrand Toën

The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15…

math.AG2019

Derived Non-archimedean analytic Hilbert space

Jorge António, Mauro Porta

In this short paper we combine the representability theorem introduced in [17, 18] with the theory of derived formal models introduced in [2] to prove the existence representabilit…

math.AG2019★ 11 cited

A Universal HKR Theorem

Tasos Moulinos, Marco Robalo, Bertrand Toën

In this work we study the failure of the HKR theorem over rings of positive and mixed characteristic. For this we construct a filtered circle interpolating between the usual topolo…

math.AG2019★ 5 cited

On subvarieties of singular quotients of bounded domains

Benoît Cadorel, Simone Diverio, Henri Guenancia

Let be a quotient of a bounded domain in . Under suitable assumptions, we prove that every subvariety of not included in the branch locus of the quotient map i…

math.AG2019★ 5 cited

The geometry of the Coble cubic and orbital degeneracy loci

Vladimiro Benedetti, Laurent Manivel, Fabio Tanturri

The Coble cubics were discovered more than a century ago in connection with genus two Riemann surfaces and theta functions. They have attracted renewed interest ever since. Recentl…

math.AG2019★ 3 cited

On the locus of Prym curves where the Prym--canonical map is not an embedding

Ciro Ciliberto, Thomas Dedieu, Concettina Galati +1

We prove that the locus of Prym curves of genus for which the Prym-canonical system is base point free but the Prym--canonical map is not an embedding…

math.AG2019★ 1 cited

Moduli of curves on Enriques surfaces

Ciro Ciliberto, Thomas Dedieu, Concettina Galati +1

We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym…

math.AG2019★ 2 cited

Gradings of Lie algebras, magical spin geometries and matrix factorizations

Roland Abuaf, Laurent Manivel

We describe a remarkable rank fourtenn matrix factorization of the octic Spin(14)-invariant polynomial on either of its half-spin representations. We observe that this representati…