A Categorical Invariant for Geometrically Rational Surfaces with a Conic Bundle Structure

Autor: Sara Durighetto, Marcello Bernardara

Publikováno v: Rationality of Varieties ISBN: 9783030754204

We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogonal decomposition. Together with the similar known result on del Pezzo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d8590f5492e55e19f197662ccbb18200
https://doi.org/10.1007/978-3-030-75421-1_5

On analytic Todd classes of singular varieties

Autor: Francesco Bei, Paolo Piazza

Let $(X,h)$ be a compact and irreducible Hermitian complex space. This paper is devoted to various questions concerning the analytic K-homology of $(X,h)$. In the fist part, assuming either $\mathrm{dim}(\mathrm{sing}(X))=0$ or $\mathrm{dim}(X)=2$, w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b779ab962984c1ab37a2a33ab09fefac
http://arxiv.org/abs/1904.06917

Brauer groups of Châtelet surfaces over local fields

Autor: Takashi Hirotsu

Publikováno v: Hokkaido Math. J. 48, no. 1 (2019), 141-154

A Châtelet surface over a field is a typical geometrically rational surface. Its Chow group of zero-cycles has been studied as an important birational invariant by many researchers since the 1970s. Recently, S. Saito and K. Sato obtained a duality b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::571c3849879e70f94e9db181b4cb87b6
https://projecteuclid.org/euclid.hokmj/1550480647

The tight approximation property

Autor: Olivier Wittenberg, Olivier Benoist

Publikováno v: Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, 2021, 776, pp.151-200. ⟨10.1515/crelle-2021-0003⟩

This article introduces and studies the tight approximation property, a property of algebraic varieties defined over the function field of a complex or real curve that refines the weak approximation property (and the known cohomological obstructions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fc6dfae9bf3d2714238994c639a6383

Birational classification of fields of invariants for groups of order 128

Autor: Akinari Hoshi

Publikováno v: Journal of Algebra. 445:394-432

Let G be a finite group acting on the rational function field C(xg:g∈G)C(xg:g∈G) by CC-automorphisms h(xg)=xhgh(xg)=xhg for any g,h∈Gg,h∈G. Noether's problem asks whether the invariant field C(G)=k(xg:g∈G)GC(G)=k(xg:g∈G)G is rational (i.e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8372c3a8135feb96206354684a840ab5
https://doi.org/10.1016/j.jalgebra.2015.05.035