Results 31 to 40 of about 25,635 (317)

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

Families of stable 3-folds in positive characteristic [PDF]

Épijournal de Géométrie Algébrique, 2023
We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.
János Kollár
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

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

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
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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
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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