Results 21 to 30 of about 63 (55)
On the Koiran-Skomra’s question about Hessians [PDF]
Extending a construction due to B. Segre, we give a negative answer to a question of Koiran and Skomra about Hessians, motivated by Kayal’s algorithm for the equivalence problem to the Fermat polynomial.
Ballico E., Ventura E.
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Covexillary Schubert varieties and Kazhdan-Lusztig Polynomials
, 2021 In this paper we establish Lascoux's algorithm and Zelevinsky's inductive formula on Kazhdan-Lusztig polynomials for covexillary Schubert varieties in classical types.
Jeon, Minyoung
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On the Koiran-Skomra's question about Hessians
, 2023 We give a negative answer to a question of Koiran and Skomra about Hessians, motivated by Kayal's algorithm for the equivalence problem to the Fermat polynomial. We conjecture that our counterexamples are the only ones.
Ballico, Edoardo, Ventura, Emanuele
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Graphs with large girth and chromatic number are hard for Nullstellensatz
, 2022 We study the computational efficiency of approaches, based on Hilbert's Nullstellensatz, which use systems of linear equations for detecting non-colorability of graphs having large girth and chromatic number.
Romero, Julian, Tunçel, Levent
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The isotopic evolution of the northern East African Orogen [PDF]
, 2018 The Neoproterozoic era saw some of the most important events in the evolution of the planet. These events notably include the emergence of complex life and climatic extremes that involved widespread, possibly global glaciation.
Blades, Morgan Lee
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Singular matroid realization spaces
, 2023 We study smoothness of realization spaces of matroids for small rank and ground set. For $\mathbb{C}$-realizable matroids, when the rank is $3$, we prove that the realization spaces are all smooth when the ground set has $11$ or fewer elements, and there
Corey, Daniel, Luber, Dante
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, 2023 In our previous paper, we gave a presentation of the torus-equivariant quantum $K$-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal. In this paper, we prove that
Maeno, Toshiaki +2 more
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Chow Rings of Matroids as Permutation Representations
, 2023 Given a matroid and a group of its matroid automorphisms, we study the induced group action on the Chow ring of the matroid. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincar\'e
Angarone, Robert +2 more
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Poincar\'e-Reeb graphs of real algebraic domains
, 2022 An algebraic domain is a closed topological subsurface of a real affine plane whose boundary consists of disjoint smooth connected components of real algebraic plane curves.
Bodin, Arnaud +2 more
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Toric Hall algebras and infinite-dimensional Lie algebras [PDF]
, 2020 We associate to a projective $n$-dimensional toric variety $X_{\Delta}$ a pair of co-commutative (but generally non-commutative) Hopf algebras $H^{\alpha}_X, H^{T}_X$.
Jun, Jaiung, Szczesny, Matt
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