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19922026
Showing 2023 · math.AGShow all

10 papers · 2 filters

math.AG2023

The birational geometry of moduli of cubic surfaces and cubic surfaces with a line

Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek

We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. F…

math.AG2023

On families of K3 surfaces with real multiplication

Bert van Geemen, Matthias Schütt

We exhibit large families of K3 surfaces with real multiplication, both abstractly using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as expl…

math.AG2023

Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves

Riccardo Pengo, Evelina Viada

We provide two different proofs of an irreducibility criterion for the preimages of a transverse subvariety of a product of elliptic curves under a diagonal endomorphism of suffici…

math.AG2023★ 3 cited

Algebraic cycles on hyper-Kähler varieties of generalized Kummer type

Salvatore Floccari, Mauro Varesco

We prove the conjectures of Hodge and Tate for any four-dimensional hyper-Kähler variety of generalized Kummer type. For an arbitrary variety of generalized Kummer type, we sho…

math.AG2023★ 4 cited

-bic hypersurfaces and their Fano schemes

Raymond Cheng

A -bic hypersurface is a hypersurface in projective space of degree , where is a power of the positive ground field characteristic, whose equation consists of monomials…

math.AG2023

The quadratic Euler characteristic of a smooth projective same-degree complete intersection

Anna M. Viergever

We find an algorithm to compute the quadratic Euler characteristic of a smooth projective complete intersection of hypersurfaces of the same degree. As an example, we compute the q…