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5 papers · 2 filters
Non-archimedean analytification of algebraic spaces
Brian Conrad, Michael Temkin
It is now a classical result that an algebraic space locally of finite type over is analytifiable if and only if it is locally separated. In this paper we study non-ar…
Fibers of tropicalization
Sam Payne
We use functoriality of tropicalization and the geometry of projections of subvarieties of tori to show that the fibers of the tropicalization map are dense in the Zariski topology…
Absolute Galois acts faithfully on the components of the moduli space of surfaces: A Belyi-type theorem in higher dimension
Robert W. Easton, Ravi Vakil
Given an object over the algebraic closure Qbar of Q, there is often no reason for invariants of the corresponding holomorphic object to be preserved by the absolute Galois group G…
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Jun Li, Wei-Ping Li
Given an algebraic surface , the Hilbert scheme of -points on admits a contraction morphism to the -fold symmetric product with the extremal ray ge…
Piecewise polynomials, Minkowski weights, and localization on toric varieties
Eric Katz, Sam Payne
We use localization to describe the restriction map from equivariant Chow cohomology to ordinary Chow cohomology for complete toric varieties in terms of piecewise polynomial funct…