Found 70 Documents (Results 1–70)
Sums of squares, Hankel index and almost real rank. (English) Zbl 07862237
Reviewer: Simone Naldi (Limoges)
Fundamentals of Broken Line Convex Geometry. arXiv:2407.02427
Preprint, arXiv:2407.02427 [math.AG] (2024).
Cross-positive linear maps, positive polynomials and sums of squares. arXiv:2401.17425
Preprint, arXiv:2401.17425 [math.FA] (2024).
Deformations of commutative Artinian algebras. (English. Russian original) Zbl 07804757
St. Petersbg. Math. J. 34, No. 6, 889-911 (2023); translation from Algebra Anal. 34, No. 6, 1-33 (2022).
New directions in real algebraic geometry. Abstracts from the workshop held March 19–24, 2023. (English) Zbl 1525.00012
Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 1525.00020
MSC:
00B05
00B25
14-06
14Pxx
12D15
13J30
14M12
14Q30
37M25
44A60
46N10
47A57
49M29
49N35
52A20
52A27
52A41
90C22
90C25
90C26
93B28
Iterated and mixed discriminants. (English) Zbl 1517.13023
Reviewer: Piotr Pokora (Kraków)
On the containment problem and sporadic simplicial line arrangements. arXiv:2309.03497
Preprint, arXiv:2309.03497 [math.AG] (2023).
Convex bodies and graded families of monomial ideals. (English) Zbl 1511.13025
Reviewer: Jugal K. Verma (Mumbai)
The characterization of finite elasticities. Factorization theory in Krull monoids via convex geometry. (English) Zbl 1504.13002
Lecture Notes in Mathematics 2316. Cham: Springer (ISBN 978-3-031-14868-2/pbk; 978-3-031-14869-9/ebook). xii, 280 p. (2022).
Reviewer: Pedro A. García Sánchez (Granada)
Sums of squares and quadratic persistence on real projective varieties. (English) Zbl 1527.14112
Reviewer: Jaewoo Jung (Daejeon)
On Hodge-Riemann relations for translation-invariant valuations. (English) Zbl 1475.52011
Reviewer: Robert Dawson (Halifax)
Tensor theta norms and low rank recovery. (English) Zbl 1474.13058
Reviewer: Edoardo Ballico (Povo)
How many zeroes? Counting solutions of systems of polynomials via toric geometry at infinity. (English) Zbl 1483.13001
CMS/CAIMS Books in Mathematics 2. Cham: Springer (ISBN 978-3-030-75173-9/hbk; 978-3-030-75174-6/ebook). xv, 352 p. (2021).
Reviewer: Felipe Zaldívar (Ciudad de México)
Liftings of polynomial systems decreasing the mixed volume. arXiv:2105.10714
Preprint, arXiv:2105.10714 [math.AG] (2021).
Real algebraic geometry with a view toward hyperbolic programming and free probability. Abstracts from the workshop held March 1–7, 2020. (English) Zbl 1460.00039
Bianalytic free maps between spectrahedra and spectraballs. (English) Zbl 1445.47052
Reviewer: Mihai Putinar (Santa Barbara)
The Characterization of Finite Elasticities. arXiv:2012.12757
Preprint, arXiv:2012.12757 [math.NT] (2020).
On the exactness of Lasserre relaxations and pure states over real closed fields. (English) Zbl 1432.13019
Reviewer: Valeriu Popa (Chişinău)
Criteria for strict monotonicity of the mixed volume of convex polytopes. (English) Zbl 1428.52011
Reviewer: Gaiane Panina (St. Petersburg)
Geometry of multigraded rings and embeddings of toric varieties. arXiv:1912.04374
Preprint, arXiv:1912.04374 [math.AG] (2019).
Extending UFDs to PIDs without adding units. (English) Zbl 1405.13037
Reviewer: Anna Romanowska (Warsaw)
On the exactness of Lasserre relaxations for compact convex basic closed semialgebraic sets. (English) Zbl 1397.90296
K-semistability is equivariant volume minimization. (English) Zbl 1409.14008
Reviewer: Andreas Höring (Nice)
Do sums of squares dream of free resolutions? (English) Zbl 1401.14225
Reviewer: Emanuele Ventura (College Station)
Archimedean Representation Theorem for modules over a commutative ring. arXiv:1706.05624
Preprint, arXiv:1706.05624 [math.AG] (2017).
Free bianalytic maps between spectrahedra and spectraballs in a generic setting. arXiv:1711.09459
Preprint, arXiv:1711.09459 [math.FA] (2017).
A Homological Theory of Functions. arXiv:1701.02302
Preprint, arXiv:1701.02302 [math.AC] (2017).
Newton polytopes and irreducible components of complete intersections. (English. Russian original) Zbl 1370.14043
Izv. Math. 80, No. 1, 263-284 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 281-304 (2016).
Reviewer: Serge Lawrencenko (Moskva)
Geometric and algebraic combinatorics. Abstracts from the workshop held February 1–7, 2015. (English) Zbl 1349.00204
Invariants for critical dimension groups and permutation-Hermite equivalence. arXiv:1309.7417
Preprint, arXiv:1309.7417 [math.AC] (2013).
Aleksandrov-Fenchel inequality for coconvex bodies. arXiv:1305.4484
Preprint, arXiv:1305.4484 [math.MG] (2013).
Pure states, nonnegative polynomials and sums of squares. (English) Zbl 1271.14086
Reviewer: Magnus Steinby (Turku)
The colorful Helly theorem and colorful resolutions of ideals. (English) Zbl 1219.13007
Reviewer: Eduardo Saenz-de-Cabezon (Logroño)
A note on formal power series. (English) Zbl 1224.13025
Newton polyhedra of discriminants of projections. (English) Zbl 1273.14105
Reviewer: Serge Lawrencenko (Moskva)
Convex polarities over ordered fields. (English) Zbl 1189.52006
Reviewer: Mihai Cipu (Bucureşti)
Mixed multiplicities of ideals versus mixed volumes of polytopes. (English) Zbl 1121.52027
Reviewer: Rolf Schneider (Freiburg i. Br.)
The Cayley–Menger determinant is irreducible for \(n\geq 3\). (Russian, English) Zbl 1081.52007
Sib. Mat. Zh. 46, No. 1, 90-97 (2005); translation in Sib. Math. J. 46, No. 1, 71-76 (2005).
Reviewer: Victor Alexandrov (Novosibirsk)
Gröbner bases associated with positive roots and Catalan numbers. (English) Zbl 1094.13043
Reviewer: Vasily A. Chernecky (Odessa)
A topological colorful Helly theorem. (English) Zbl 1064.52008
Reviewer: Marek Lassak (Bydgoszcz)
Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity. (English) Zbl 1093.13508
On the determination of the degree of an equation obtained by elimination (translation with commentary). arXiv:math/0310014
Preprint, arXiv:math/0310014 [math.HO] (2003).
On the algebraic properties of convex bodies and related algebraic systems. (English) Zbl 1079.52002
Brunn-Minkowski inequality for multiplicities. (English) Zbl 0893.52004
Reviewer: S.M.Pokas (Odessa)
Star-shaped complexes and Ehrhart polynomials. (English) Zbl 0823.13013
Reviewer: Y.Felix (Louvain-La-Neuve)
Duality principles in mathematics and their relations to conjugate functions. (English) Zbl 0598.49009
Reviewer: W.Kurc
A simple proof of the upper bound theorem. (English) Zbl 0582.52003
Reviewer: F.Hering
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