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Rebuilding ships while at sea—Character individuality, homology, and evolutionary innovation
Journal of Morphology, Volume 284, Issue 1, January 2023., 2023 Building on a previous account of evolutionary innovation, I propose here that evolutionary novelties are those individualized characters that are not homologous to any characters in the ancestor. Integrating functional and structural perspectives, I argue that functional as well as structural considerations are important for character ...
Gerhard Schlosser
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On the universal regular homomorphism in codimension 2 [PDF]
Annales de l'Institut Fourier, 2020 We point out a gap in Murre's proof of the existence of a universal regular homomorphism for codimension $2$ cycles on a smooth projective variety, and offer two arguments to fill this gap.
B. Kahn
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Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
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Quantum isomorphism is equivalent to equality of homomorphism counts from planar graphs [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2019 Over 50 years ago, Lovász proved that two graphs are isomorphic if and only if they admit the same number of homomorphisms from any graph. Other equivalence relations on graphs, such as cospectrality or fractional isomorphism, can be characterized by ...
L. Mančinska, David E. Roberson
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The local period integrals and essential vectors
Mathematische Nachrichten, Volume 296, Issue 1, Page 339-367, January 2023., 2023 Abstract By applying the formula for essential Whittaker functions established by Matringe and Miyauchi, we study five integral representations for irreducible admissible generic representations of GLn over p‐adic fields. In each case, we show that the integrals achieve local formal L‐functions defined by Langlands parameters, when the test vector is ...
Yeongseong Jo
wiley +1 more source
Lattices of homomorphisms [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1986 AbstractGiven a variety K of lattice-ordered algebras, A ∈ K is catalytic if for all B ∈ K, K(A, B) is a lattice for the pointwise order. The catalytic objects are determined for various varieties of distributive-lattice-ordered algebras. The characterisations obtained do not show an overall unity and exhibit diverse behaviour.
Davey, B, Priestley, H
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Wasit Journal for Pure Sciences, 2023 In this paper, we presented a new properties of a weakly completely prime graph, where we added the algebraic properties in this graph and extracted from them some important theories and results, with the study of homomorphism in this graph when ...
ameer al-swidi, Ahmed A.Omran
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A Study on Interval-Valued Fuzzy Graph with Application in Energy Industry Management
Discrete Dynamics in Nature and Society, 2022 In this paper, we define the concept of level graphs on interval-valued fuzzy graphs (IVFGs) and introduce the notions of α,β−α,β− homomorphism, isomorphism, weak isomorphism, and co-weak isomorphism of IVFGs by α,β− homomorphism. Also, an application of
Xiaoli Qiang +5 more
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On the stability of -homomorphisms [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2005 8 pages, minor ...
Mohammad Sal Moslehian, Choonkil Baak
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Neutrosophic Vague Line Graphs [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophic graphs are employed as a mathematical key to hold an imprecise and unspecified data. Vague sets gives more intuitive graphical notation of vague information, that delicates crucially better analysis in data relationships, incompleteness and ...
S. Satham Hussain +2 more
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