Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Weronika Buczyńska"'
Publikováno v:
Przegląd Dermatologiczny, Vol 108, Iss 5, Pp 407-413 (2022)
Externí odkaz:
https://doaj.org/article/596e31acb3a44430bd8b2135170ac137
Publikováno v:
Dermatology Review. 108:407-413
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::226b9c89c2993f600a71502eb4095642
https://doi.org/10.5114/dr.2021.113158
https://doi.org/10.5114/dr.2021.113158
Autor:
Weronika Buczyńska, Jarosław Buczyński
We introduce an elementary method to study the border rank of polynomials and tensors, analogous to the apolarity lemma. This can be used to describe the border rank of all cases uniformly, including those very special ones that resisted a systematic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a3bf1f9953263e391f67e51dd45a00b
Publikováno v:
Journal of the European Mathematical Society. :609-635
We investigate projective varieties which are binary symmetric models of trivalent phylogenetic trees. We prove that they have Gorenstein terminal singularities and are Fano varieties of index 4 and dimension equal to the number of edges of the tree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97799ed211cb1e5dfb9013e65006162f
https://doi.org/10.4171/jems/90
https://doi.org/10.4171/jems/90
Publikováno v:
Michigan Math. J. 64, iss. 4 (2015), 675-719
A polynomial is a direct sum if it can be written as a sum of two non-zero polynomials in some distinct sets of variables, up to a linear change of variables. We analyze criteria for a homogeneous polynomial to be decomposable as a direct sum, in ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e26687a968bfc6d1a5f2f29f8eff793c
http://projecteuclid.org/euclid.mmj/1447878029
http://projecteuclid.org/euclid.mmj/1447878029
We prove a conjecture of W. Hackbusch about tensor network states related to a perfect binary tree and train track tree. Tensor network states are used to present seemingly complicated tensors in a relatively simple and efficient manner. Each such pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8d30fe617feda8832718daa9ab1f2a9
Publikováno v:
Central European Journal of Mathematics
We study semigroups of labellings associated to a graph. These generalize the Jukes-Cantor model and phylogenetic toric varieties defined by Buczy\'nska. Our main theorem bounds the degree of the generators of the semigroup by g+1 when the graph has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60d15511b656f76210121dfce92eded8
Autor:
Weronika Buczyńska, Jarosław Buczyński
We consider higher secant varieties to Veronese varieties. Most points on the r-th secant variety are represented by a finite scheme of length r contained in the Veronese variety --- in fact, for generic point, it is just a union of r distinct points
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e730b9143243020d0aabc730a18850e9
A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of linear forms, where the number of summands is minimal possible. We prove that any Waring decomposition of a monomial is obtained from a complete intersect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c70efb9a56be017171b03b12d030a71
http://arxiv.org/abs/1201.2922
http://arxiv.org/abs/1201.2922
Autor:
Jarosław Buczyński, Weronika Buczyńska
We study the secant varieties of the Veronese varieties and of Veronese reembeddings of a smooth projective variety. We give some conditions, under which these secant varieties are set-theoretically cut out by determinantal equations. More precisely,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6aa9a69a29f13e466fb4417b716bbb94