Results 31 to 40 of about 25,572 (317)

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, Omar León Sánchez, Stéphane Launois, Jason Bell, Leon Sanchez, Omar, Sanchez, Omar; id_orcid, Rahim Moosa, Launois, Stephane, Bell, Jason   +8 more
core   +1 more source

An application of algebraic geometry in optimization

آموزش مهندسی ایران, 2019
Algebraic geometry is one of the dynamic branches of pure mathematics, which has received a large part of the current research of mathematical experts in the world. In this branch of science, geometric issues are expressed in algebraic language. With the
Dawood Hassanzadeh Lelekaami
doaj   +1 more source

Algebraic entropy for algebraic maps [PDF]

, 2015
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W., Zullo, F., RAGNISCO, Orlando, Zullo, Federico, Hone, Andrew N.W.   +4 more
core   +1 more source

Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]

Épijournal de Géométrie Algébrique
Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon   +3 more
doaj   +1 more source

Double spinor Calabi-Yau varieties [PDF]

Épijournal de Géométrie Algébrique, 2019
Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety is a smooth Calabi-Yau fivefold, as well as the intersection Y of their ...
Laurent Manivel
doaj   +1 more source

Hypercomplex Algebraic Geometry [PDF]

The Quarterly Journal of Mathematics, 1998
Let \({\mathbb H}=\{ r_0 + r_1i_1 + r_2i_2 + r_3i_3 \mid r_j\in{\mathbb R} \}\) be the skew field of quaternions which satisfy the following relations \[ \begin{aligned} i_1 i_2 &= -i_2 i_1=i_3,\qquad i_2 i_3=-i_3 i_2=i_1,\\ i_3 i_1 &= -i_1 i_3=i_2,\qquad i_1^2=i_2^2=i_3^2=-1.\end{aligned} \] Let \(U\subset{\mathbb H}^n\) be an open domain and \(f:U\to{
openaire   +4 more sources

Gromov-Witten and Welschinger invariants of del Pezzo varieties [PDF]

Épijournal de Géométrie Algébrique
In this paper, we establish formulas for computing genus-$0$ Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension three by comparing to that of dimension two.
Thi-Ngoc-Anh Nguyen
doaj   +1 more source

Chern classes of automorphic vector bundles, II [PDF]

Épijournal de Géométrie Algébrique, 2019
We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
doaj   +1 more source

Phylogenetic algebraic geometry [PDF]

, 2005
15 pages, 7 ...
Eriksson, Nicholas, Ranestad, Kristian, Sturmfels, Bernd, Sullivant, Seth   +3 more
openaire   +2 more sources

Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3 [PDF]

Épijournal de Géométrie Algébrique
It is well known that a non-singular real plane projective curve of degree five with five connected components is separating if and only if its ovals are in non-convex position.
Matilde Manzaroli
doaj   +1 more source