Results 31 to 40 of about 7,186 (267)
Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
core +1 more source
A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
core +1 more source
On a theorem of Campana and P\u{a}un [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Christian Schnell
doaj +1 more source
Bialynicki-Birula schemes in higher dimensional Hilbert schemes of points and monic functors [PDF]
Épijournal de Géométrie Algébrique, 2021 The Bialynicki-Birula strata on the Hilbert scheme $H^n(\mathbb{A}^d)$ are smooth in dimension $d=2$. We prove that there is a schematic structure in higher dimensions, the Bialynicki-Birula scheme, which is natural in the sense that it represents a ...
Laurent Evain, Mathias Lederer
doaj +1 more source
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
Épijournal de Géométrie Algébrique, 2018 We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
doaj +1 more source
The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities [PDF]
Épijournal de Géométrie AlgébriqueWe extend results of Looijenga--Lunts and Verbitsky and show that the total Lie algebra $\mathfrak g$ for the intersection cohomology of a primitive symplectic variety $X$ with isolated singularities is isomorphic to $$\mathfrak g \cong \mathfrak{so ...
Benjamin Tighe
doaj +1 more source
Invariants and separating morphisms for algebraic group actions [PDF]
, 2014 The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic groups actions an affine varieties where we take a more geometric point of view.
Kraft, Hanspeter +5 more
core +1 more source
On the irrationality of moduli spaces of projective hyperk\"ahler manifolds [PDF]
Épijournal de Géométrie AlgébriqueThe aim of this paper is to estimate the irrationality of moduli spaces of hyperk\"ahler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal
Daniele Agostini +2 more
doaj +1 more source
Trace formalism for motivic cohomology [PDF]
Épijournal de Géométrie Algébrique, 2023 The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-D\'{e}glise. We also construct an $\infty$-enhancement of such a trace formalism.
Tomoyuki Abe
doaj +1 more source
Torus Actions on Quotients of Affine Spaces [PDF]
Épijournal de Géométrie Algébrique, 2023 We study the locus of fixed points of a torus action on a GIT quotient of a complex vector space by a reductive complex algebraic group which acts linearly.
Ana-Maria Brecan, Hans Franzen
doaj +1 more source