Equivariant geometry of the Segre cubic and the Burkhardt quartic (Q6657178)

scientific article; zbMATH DE number 7962041

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English	Equivariant geometry of the Segre cubic and the Burkhardt quartic	scientific article; zbMATH DE number 7962041

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scholarly article

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title

Equivariant geometry of the Segre cubic and the Burkhardt quartic (English)

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Selecta Mathematica. New Series

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publication date

6 January 2025

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MaRDI profile type

Publication

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cites work

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Automorphisms of threefolds that can be represented as an intersection of two quadrics

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Automorphisms of singular three-dimensional cubic hypersurfaces

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Forms of the Segre cubic

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Finite quasisimple groups acting on rationally connected threefolds

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Weak Fano threefolds obtained by blowing-up a space curve and construction of Sarkisov links

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On stable conjugacy of finite subgroups of the plane Cremona group. I

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Twists of the Burkhardt quartic threefold

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Arithmetic aspects of the Burkhardt quartic threefold

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Rationality of twists of the Siegel modular variety of genus 2 and level 3

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Kummer quartic double solids

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Toric $G$-solid Fano threefolds

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Coble fourfold, $\mathfrak{S}_6$-invariant quartic threefolds, and Wiman-Edge sextics

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Cohomological and geometric approaches to rationality problems. New Perspectives

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Burkhardt Quartic, Barth Sextic, and the Icosahedron

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Equivariant pliability of the projective space

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Three embeddings of the Klein simple group into the Cremona group of rank three

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Five embeddings of one simple group

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Cremona Groups and the Icosahedron

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Finite collineation groups and birational rigidity

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Birationally rigid Fano varieties

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Resolving $G$-torsors by abelian base extensions.

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Q4838936

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A weak Fano threefold arising as a blowup of a curve of genus 5 and degree 8 on ${\mathbb{P}}^3$

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Towards the classification of weak Fano threefolds with $\rho = 2$

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On the Burkhardt quartic

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Finite Subgroups of the Plane Cremona Group

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The rationality problem for forms of M¯0,n

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The Sarkisov program

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Symbols and equivariant birational geometry in small dimensions

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Q4788842

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Rationality of complete intersections of two quadrics over nonclosed fields

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Equivariant geometry of odd-dimensional complete intersections of two quadrics

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TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY

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Rationality Problem for Algebraic Tori

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The geometry of some special arithmetic quotients

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Equivariant Burnside groups and representation theory

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Q3488293

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Classification of Fano 3-folds with $B_ 2 \geq 2$

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$G$-birational rigidity of the projective plane

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Q3497203

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Weak Fano threefolds with del Pezzo fibration

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ON A QUARTIC PRIMAL WITH FORTY-FIVE NODES, IN SPACE OF FOUR DIMENSIONS

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Potentially Stably Rational Del Pezzo Surfaces over Nonclosed Fields

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Combinatorial Burnside groups

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Identifiers

DOI

10.1007/s00029-024-01001-w

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Mathematics Subject Classification ID

14E07

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zbMATH DE Number

7962041

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Sitelinks

Mathematics(1 entry)

mardi Publication:6657178