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math.AG2026

Corrigendum to "Nonsymplectic automorphisms of prime order on O'Grady's sixfolds"

Annalisa Grossi, Stevell Muller

In this short note we correct the lattice theoretic classification in [Rev. Mat. Iberoam. 38 (2022), no. 4, 1199--1218] of the first named author, including some missing cases and…

math.AG2024

On the numerically and cohomologically trivial automorphisms of elliptic surfaces II:

Fabrizio Catanese, Wenfei Liu, Matthias Schütt

In this second part we study first the group of numerically trivial automorphisms of an algebraic properly elliptic surface , that is, of a minimal algebrai…

math.AG2024★ 1 cited

On the rationality problem for low degree hypersurfaces

Jan Lange, Stefan Schreieder

We show that a very general hypersurface of degree d at least 4 and dimension at most over a field of characteristic different from 2 does not admit a decomposition…

math.AG2024

A Semi-orthogonal Sequence in the Derived Category of the Hilbert Scheme of Three Points

Erik Nikolov

For a smooth projective variety of dimension over an algebraically closed field of characteristic zero, it is shown in this paper that the bounded derived catego…

math.AG2024

Compactly supported -Euler characteristics of symmetric powers of cellular varieties

Jesse Pajwani, Herman Rohrbach, Anna M. Viergever

The compactly supported -Euler characteristic, introduced by Hoyois and later refined by Levine and others, is an anologue in motivic homotopy theory of the classical…

math.AG2024

Derived categories of quartic double fivefolds

Raymond Cheng, Alexander Perry, Xiaolei Zhao

We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also constr…