Found 140 Documents (Results 1–100)
Rank of a tensor and quantum entanglement. (English) Zbl 07901773
Reviewer: Edoardo Ballico (Povo)
On schemes evinced by generalized additive decompositions and their regularity. (English. French summary) Zbl 07882137
Limits of graded Gorenstein algebras of Hilbert function \((1,3^k,1)\). (English) Zbl 1535.13032
Reviewer: Leila Khatami (Schenectady)
Border rank of powers of ternary quadratic forms. (English) Zbl 1528.14065
Reviewer: Alessandro Gimigliano (Bologna)
MSC:
14N07
Absolute reconstruction for sums of powers of linear forms: degree 3 and beyond. (English) Zbl 1541.14083
Reviewer: Alessandra Bernardi (Trento)
Finite \(0\)-dimensional multiprojective schemes and their ideals. (English) Zbl 1522.13023
Reviewer: Paola Bonacini (Catania)
Perazzo 3-folds and the weak Lefschetz property. (English) Zbl 1516.14066
Reviewer: Scott Nollet (Fort Worth)
Curves and stick figures not contained in a hypersurface of a given degree. (English) Zbl 1509.14066
MSC:
14H50
Nets of conics and associated Artinian algebras of length 7. Translation and update of the 1977 version by J. Emsalem and A. Iarrobino. (English) Zbl 1511.14014
Reviewer: Piotr Pokora (Kraków)
Remarks on double points of plane curves. (English) Zbl 1504.14057
Reviewer: Justyna Szpond (Kraków)
PTOPO: computing the geometry and the topology of parametric curves. (English) Zbl 1498.14153
Reviewer: Jose Capco (Linz)
On the bounded negativity conjecture and singular plane curves. (English) Zbl 1498.14088
Reviewer: Scott Nollet (Fort Worth)
The tangent bundle restricted to a rational curve spanning \(\mathbb{P}^3\). (English) Zbl 1498.14085
Reviewer: Edoardo Ballico (Povo)
A new bound for the Waring rank of monomials. (English) Zbl 1495.14093
Reviewer: Cenap Özel (İzmir)
A note on the maximal rank. (English) Zbl 1496.14053
Reviewer: Francesca Cioffi (Napoli)
On the secant varieties of tangential varieties. (English) Zbl 1495.14080
Reviewer: Scott Nollet (Fort Worth)
The T-function of a parametric curve. (English) Zbl 1492.14106
Reviewer: Gema Maria Diaz Toca (Murcia)
Rational normal curves and Hadamard products. (English) Zbl 1492.13015
Reviewer: Paola Bonacini (Catania)
Special Ulrich bundles on regular surfaces with non-negative Kodaira dimension. (English) Zbl 1483.14079
Reviewer: Joan Pons-Llopis (Maó)
Strict inclusions of high rank loci. (English) Zbl 1476.14091
Reviewer: Nathan Grieve (Kingston)
Algebraic geometry, commutative algebra and combinatorics: interactions and open problems. (English) Zbl 1498.14089
Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 445-473 (2021).
Apolarity, border rank, and multigraded Hilbert scheme. (English) Zbl 1481.14006
Reviewer: Rick Rischter (Itajubá)
Open \(X\)-ranks with respect to Segre and Veronese varieties. (English) Zbl 1476.14089
Reviewer: Alessandro Gimigliano (Bologna)
Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails. (English) Zbl 1516.14097
All secant varieties of the Chow variety are nondefective for cubics and quaternary forms. (English) Zbl 1472.14008
Reviewer: Emanuele Ventura (College Station)
Geometric conditions for strict submultiplicativity of rank and border rank. (English) Zbl 1466.14058
Reviewer: Reynaldo Staffolani (Trento)
MSC:
14N07
A nearly optimal algorithm to decompose binary forms. (English) Zbl 1461.14080
Reviewer: Luca Chiantini (Siena)
Skew-symmetric tensor decomposition. (English) Zbl 1458.15044
Reviewer: Tin Yau Tam (Reno)
On minimal decompositions of low rank symmetric tensors. (English) Zbl 1460.13049
Reviewer: Nathan Grieve (Ottawa)
On the Hilbert function of general fat points in \(\mathbb{P}^1\times\mathbb{P}^1\). (English) Zbl 1455.14011
Reviewer: Piotr Pokora (Kraków)
On the geometry and the topology of parametric curves. (English) Zbl 1483.68502
Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 281-288 (2020).
Waring, tangential and cactus decompositions. (English. French summary) Zbl 1448.14051
Reviewer: Edoardo Ballico (Povo)
The monic rank. (English) Zbl 1443.14062
Reviewer: Nathan Grieve (Ottawa)
On a geometric method for the identifiability of forms. (English) Zbl 1440.14240
Reviewer: Edoardo Ballico (Povo)
Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties. (English) Zbl 1464.14052
Reviewer: Ettore Teixeira Turatti (Firenze)
Freeness and invariants of rational plane curves. (English) Zbl 1436.14054
Reviewer: Tadeusz Krasiński (Łódź)
Moment ideals of local Dirac mixtures. (English) Zbl 1436.13059
Reviewer: Sonia P��rez Díaz (Madrid)
The Rees algebra of parametric curves via liftings. (English) Zbl 1423.13040
Reviewer: Andrew Kustin (Columbia)
Semi-stability of the pullback of \(T_{\mathbb{P}^2}\) on an elliptic curve. (English) Zbl 1440.14168
The singular points of a rational plane curve and its restricted tangent bundle. (English) Zbl 1420.14065
Reviewer: Nathan Grieve (East Lansing)
Ulrich bundles on non-special surfaces with \(p_g=0\) and \(q=1\). (English) Zbl 1439.14124
Rev. Mat. Complut. 32, No. 2, 559-574 (2019); correction ibid. 32, No. 2, 575-577 (2019).
Reviewer: Luca Chiantini (Siena)
MSC:
14J60
Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\). (English) Zbl 1422.14057
Reviewer: Halszka Tutaj-Gasinska (Kraków)
An in depth analysis, via resultants, of the singularities of a parametric curve. (English) Zbl 1439.14171
Reviewer: Franz Winkler (Linz)
The symbolic defect of an ideal. (English) Zbl 1430.13003
Reviewer: Justyna Szpond (Kraków)
An observation on \((-1)\)-curves on rational surfaces. (English) Zbl 1408.14118
Reviewer: Chen Jiang (Shanghai)
MSC:
14J26
On generic and maximal \(k\)-ranks of binary forms. (English) Zbl 1409.15013
Reviewer: Chen Sheng (Harbin)
On non-secant defectivity of Segre-Veronese varieties. (English) Zbl 1404.14062
Reviewer: Piotr Pokora (Kraków)
Postulation of general unions of lines and +lines in positive characteristic. (English) Zbl 1439.14151
MSC:
14N07
Partially symmetric tensor rank: the description of the non-uniqueness case for low rank. (English) Zbl 1427.15027
Algebraic stories from one and from the other pockets. (English) Zbl 1423.14299
Reviewer: Luca Chiantini (Siena)
Analysis and construction of rational curve parametrizations with non-ordinary singularities. (English) Zbl 1439.14173
Reviewer: Franz Winkler (Linz)
On the ranks of homogeneous polynomials of degree at least 9 and border rank 5. (English) Zbl 1405.14126
Bounds on the tensor rank. (English) Zbl 1411.14058
Reviewer: Alessandro Gimigliano (Bologna)
Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank). (English) Zbl 1407.14053
Reviewer: Luca Chiantini (Siena)
On the locus of points of high rank. (English) Zbl 1401.14219
Reviewer: Alessandro Gimigliano (Bologna)
Singularities of plane rational curves via projections. (English) Zbl 1390.14183
Reviewer: Justyna Szpond (Kraków)
Most secant varieties of tangential varieties to Veronese varieties are nondefective. (English) Zbl 1387.14136
Reviewer: Alessandro Gimigliano (Bologna)
Stable Ulrich bundles on Fano threefolds with Picard number 2. (English) Zbl 1442.14134
Reviewer: Simone Marchesi (Campinas)
MSC:
14J60
Curvilinear schemes and maximum rank of forms. (English) Zbl 1402.14070
MSC:
14N05
The stratification by rank for homogeneous polynomials with border rank 5 which essentially depend on five variables. (English) Zbl 1370.14046
MSC:
14N05
Waring-like decompositions of polynomials. I. (English) Zbl 1372.14047
Reviewer: Piotr Pokora (Kraków)
Special Ulrich bundles on non-special surfaces with \(p_g=q=0\). (English) Zbl 1435.14042
Int. J. Math. 28, No. 8, Article ID 1750061, 18 p. (2017); erratum ibid. 29, No. 5, Article ID 1892001, 3 p. (2018).
Reviewer: N. Mohan Kumar (St. Louis)
Generic power sum decompositions and bounds for the Waring rank. (English) Zbl 1369.15004
Reviewer: Rick Rischter (Itajubá)
On the real rank of monomials. (English) Zbl 1369.14070
Reviewer: Luca Chiantini (Siena)
MSC:
14P99
A uniqueness result on the decompositions of a bi-homogeneous polynomial. (English) Zbl 1362.14054
Reviewer: Rick Rischter (Itajubá)
Higher distances for constant dimensions codes: the case of osculating spaces to a Veronese variety. (English) Zbl 1358.94102
On parameterizations of plane rational curves and their syzygies. (English) Zbl 1342.14064
Reviewer: Scott Nollet (Fort Worth)
On differences between the border rank and the smoothable rank of a polynomial. (English) Zbl 1350.14044
Regina lectures on fat points. (English) Zbl 1315.14012
Cooper, Susan M. (ed.) et al., Connections between algebra, combinatorics, and geometry. Selected papers based on the presentations at the workshop, Regina, Canada, May 29 – June 1, 2012, the special session on interactions between algebraic geometry and commutative algebra, Regina, Canada, June 2–3, 2012 and the conference on further connections between algebra and geometry, Fargo, ND, USA, February 2–3, 2013. New York, NY: Springer (ISBN 978-1-4939-0625-3/hbk; 978-1-4939-0626-0/ebook). Springer Proceedings in Mathematics & Statistics 76, 147-187 (2014).
Linear subspaces of symmetric tensors whose non-zero elements have at least a prescribed rank. (English) Zbl 1305.14022
On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank. (English) Zbl 1308.14054
Strata of vector spaces of forms in \({R = \mathsf k[x, y]}\), and of rational curves in \({\mathbb{P}^k}\). (English) Zbl 1317.14026
Reviewer: Luciana Ramella (Genova)
An upper bound for the real tensor rank and the real symmetric tensor rank in terms of the complex ranks. (English) Zbl 1301.14029
Normal bundle of rational curves and Waring decomposition. (English) Zbl 1318.14030
Reviewer: Piotr Pokora (Kraków)
Postulation of general unions of lines and multiplicity two points in \(\mathbb P^3\). (English) Zbl 1290.14033
An upper bound for the Waring rank of a form. (English) Zbl 1322.14079
Reviewer: Edoardo Ballico (Povo)
Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes. (English) Zbl 1295.14047
Reviewer: Roberto Munoz (Madrid)
An upper bound for the symmetric tensor rank of a low degree polynomial in a large number of variables. (English) Zbl 1307.15035
A study of singularities on rational curves via syzygies. (English) Zbl 1305.14014
Mem. Am. Math. Soc. 1045, ix, 116 p. (2013).
Reviewer: Gerhard Pfister (Kaiserslautern)
On the dual minimum distance and minimum weight of codes from a quotient of the Hermitian curve. (English) Zbl 1347.94077
Tensor ranks on tangent developable of Segre varieties. (English) Zbl 1282.14090
Reviewer: Luca Chiantini (Siena)
MSC:
14N05
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