Symmetry, Integrability and Geometry: Methods and Applications, ISSN 1815-0659, 03/2020

SIGMA 16 (2020), 016, 12 pages We prove a version of the BKK theorem for the ring of conditions of a spherical homogeneous space $G/H$. We also introduce the...

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry

Journal Article

RUSSIAN MATHEMATICAL SURVEYS, ISSN 0036-0279, 2018, Volume 73, Issue 5, pp. 935 - 939

Journal Article

03/2018

The purpose of this note is to give an exposition of some interesting combinatorics and convex geometry concepts that appear in algebraic geometry in relation...

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry

Journal Article

Moscow Mathematical Journal, ISSN 1609-3321, 10/2017, Volume 17, Issue 4, pp. 717 - 740

Let R-Delta (f(1), ... ,f(n+1)) be the Delta-resultant (defined in the paper) of (n + 1)-tuple of Laurent polynomials. We provide an algorithm for computing...

Poisson formula | Developed system | Laurent polynomial | Parshin reciprocity laws | Resultant | Newton polyhedron | MATHEMATICS | resultant | GROTHENDIECK RESIDUES | MATHEMATICS, APPLIED | developed system

Poisson formula | Developed system | Laurent polynomial | Parshin reciprocity laws | Resultant | Newton polyhedron | MATHEMATICS | resultant | GROTHENDIECK RESIDUES | MATHEMATICS, APPLIED | developed system

Journal Article

RUSSIAN MATHEMATICAL SURVEYS, ISSN 0036-0279, 2016, Volume 71, Issue 6, pp. 1153 - 1157

Journal Article

Selecta Mathematica, ISSN 1022-1824, 10/2016, Volume 22, Issue 4, pp. 2099 - 2141

Let G be a complex reductive algebraic group. We study complete intersections in a spherical homogeneous space G / H defined by a generic collection of...

Spherical variety | Complete intersection | Virtual polytope | Arithmetic and geometric genus | Newton–Okounkov polytope | Primary: 14M27 | Mathematics, general | Moment polytope | Secondary: 14M10 | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Newton-Okounkov polytope | BASES | NEWTON POLYTOPES | BODIES | MULTIPLICITIES

Spherical variety | Complete intersection | Virtual polytope | Arithmetic and geometric genus | Newton–Okounkov polytope | Primary: 14M27 | Mathematics, general | Moment polytope | Secondary: 14M10 | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Newton-Okounkov polytope | BASES | NEWTON POLYTOPES | BODIES | MULTIPLICITIES

Journal Article

Arnold Mathematical Journal, ISSN 2199-6792, 3/2016, Volume 2, Issue 1, pp. 121 - 138

A classic result of Ritt describes polynomials invertible in radicals: they are compositions of power polynomials, Chebyshev polynomials and polynomials of...

Mathematical Physics | Analysis | Mathematics, general | Algebraic Geometry | Mathematics | Solvability in k -radicals | Dynamical Systems and Ergodic Theory | Combinatorics | Topological Galois theory | Exceptional polynomials | Solvability in k-radicals

Mathematical Physics | Analysis | Mathematics, general | Algebraic Geometry | Mathematics | Solvability in k -radicals | Dynamical Systems and Ergodic Theory | Combinatorics | Topological Galois theory | Exceptional polynomials | Solvability in k-radicals

Journal Article

Izvestiya Mathematics, ISSN 1064-5632, 2016, Volume 80, Issue 1, pp. 263 - 284

We calculate the number of irreducible components of varieties in (C*)(n) determined by generic systems of equations with given Newton polytopes. Every such...

Irreducible components | Newton polytopes | Holomorphic forms | Mixed volume | MATHEMATICS | irreducible components | mixed volume | holomorphic forms | Polytopes | Intersections | Mathematical analysis | Invariants

Irreducible components | Newton polytopes | Holomorphic forms | Mixed volume | MATHEMATICS | irreducible components | mixed volume | holomorphic forms | Polytopes | Intersections | Mathematical analysis | Invariants

Journal Article

St. Petersburg Mathematical Journal, ISSN 1061-0022, 2015, Volume 26, Issue 5, pp. 797 - 811

A set that is a Grobner basis for an ideal with respect to every Grobner ordering is called a universal Grobner basis for that ideal. In the paper, it is...

Tropical basis | Laurent polynomial | Universal Gröbner basis | Ideal | Seidenberg theorem | MATHEMATICS | universal Grobner basis | ideal | tropical basis

Tropical basis | Laurent polynomial | Universal Gröbner basis | Ideal | Seidenberg theorem | MATHEMATICS | universal Grobner basis | ideal | tropical basis

Journal Article

10.
Full Text
"

St. Petersburg Mathematical Journal, ISSN 1061-0022, 10/2015, Volume 26, Issue 5, p. 797

öööötropical Noetherity of a ring of Laurent polynomials. This theorem is close to the existence theorem for a universal basis and is needed for the in , which...

Journal Article

06/2015

Let G be a complex reductive algebraic group. We study complete intersections in a spherical homogeneous space G/H defined by a generic collection of sections...

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry

Journal Article

Functional Analysis and its Applications, ISSN 0016-2663, 2015, Volume 49, Issue 1, pp. 50 - 56

Liouville's theorem describes algebraic functions integrable in terms of generalized elementary functions. In many cases, algorithms based on this theorem make...

solvability in finite terms | algebraic function | Abelian integral | elementary function | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

solvability in finite terms | algebraic function | Abelian integral | elementary function | MATHEMATICS | MATHEMATICS, APPLIED | Algorithms

Journal Article

Discrete & Computational Geometry, ISSN 0179-5376, 12/2014, Volume 52, Issue 4, pp. 806 - 823

If the complement of a closed convex set in a closed convex cone is bounded, then this complement minus the apex of the cone is called a coconvex set. Coconvex...

Virtual convex polytopes | Computational Mathematics and Numerical Analysis | Aleksandrov-Fenchel inequalities | Volume | Valuations on polytopes | Mathematics | Combinatorics | Coconvex bodies | MATHEMATICS | POLYTOPES | COMPUTER SCIENCE, THEORY & METHODS | INTEGRAL-POINTS | Valuation | Algebra | Geometry | Polytopes | Theorems | Integers | Computational geometry | Singularities | Apexes | Inequalities | Complement | Invariants

Virtual convex polytopes | Computational Mathematics and Numerical Analysis | Aleksandrov-Fenchel inequalities | Volume | Valuations on polytopes | Mathematics | Combinatorics | Coconvex bodies | MATHEMATICS | POLYTOPES | COMPUTER SCIENCE, THEORY & METHODS | INTEGRAL-POINTS | Valuation | Algebra | Geometry | Polytopes | Theorems | Integers | Computational geometry | Singularities | Apexes | Inequalities | Complement | Invariants

Journal Article

Scientific and Technical Information Processing, ISSN 0147-6882, 12/2014, Volume 41, Issue 5, pp. 293 - 301

The problem of comparing digitized (scanned) images is described. The paper provides a theoretical solution of the problem of searching for the parallel...

optimal position of figures | image | Computer Systems Organization and Communication Networks | function of comparison | shift of images | Computer Science | Digital imaging | Algorithms | Computation | Searching | Symbols | Images | Digitization | Boundaries | Transport | Standards | Optimization

optimal position of figures | image | Computer Systems Organization and Communication Networks | function of comparison | shift of images | Computer Science | Digital imaging | Algorithms | Computation | Searching | Symbols | Images | Digitization | Boundaries | Transport | Standards | Optimization

Journal Article

2014, Springer monographs in mathematics, ISBN 3642388701, xviii, 307 pages

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in...

Differential equations, Linear | Galois theory | Differential algebra | Topological algebras

Differential equations, Linear | Galois theory | Differential algebra | Topological algebras

Book

Proceedings of the Steklov Institute of Mathematics, ISSN 0081-5438, 10/2014, Volume 286, Issue 1, pp. 268 - 284

We associate convex regions in ℝ n to m-primary graded sequences of subspaces, in particular m-primary graded sequences of ideals, in a large class of local...

Mathematics, general | Mathematics | MATHEMATICS | LOCAL-RINGS | MATHEMATICS, APPLIED | Algebra

Mathematics, general | Mathematics | MATHEMATICS | LOCAL-RINGS | MATHEMATICS, APPLIED | Algebra

Journal Article

Canadian Mathematical Bulletin, ISSN 0008-4395, 2014, Volume 57, Issue 3, pp. 562 - 572

In a previous paper the authors developed an intersection theory for subspaces of rational functions on an algebraic variety X over k = C. In this short note,...

Grothendieck group | Intersection number | Cartier divisor | Cartier b-divisor | MATHEMATICS | INTERSECTION THEORY | intersection number

Grothendieck group | Intersection number | Cartier divisor | Cartier b-divisor | MATHEMATICS | INTERSECTION THEORY | intersection number

Journal Article

RUSSIAN MATHEMATICAL SURVEYS, ISSN 0036-0279, 2014, Volume 69, Issue 4, pp. 743 - 751

Journal Article

MOSCOW MATHEMATICAL JOURNAL, ISSN 1609-3321, 04/2014, Volume 14, Issue 2, pp. 173 - 179

Journal Article

10/2013

Let R be the local ring of a point on a variety X over an algebraically closed field k. We make a connection between the notion of mixed (Samuel) multiplicity...

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.